Organizing Committee
Abstract

The arrangement of point configurations in metric spaces, whether deterministic or random, is a truly interdisciplinary topic of great interest in mathematics, physics and computer science. Mathematical aspects involve optimization, discretization of manifolds, best packing and cubature, among others. For physics, such configurations arise in the study of crystallization, point processes connected with random matrices, self-assembling materials, jammed states, hyperuniformity and phase transitions. For computer science, extremal point configurations play a fundamental role in coding and information theory, and lattice-based protocols in cryptography and related computational complexity issues are of growing importance. Furthermore, there has been recent and substantial progress on related age-old problems (such as the Kepler conjecture).

The investigation of the above topics often evolves from the development of efficient computational methods that enable extensive numerical experiments. In turn, these experiments suggest conjectures that become the focus of rigorous theorem proving, which may also require some computer assistance. The program topics include random point configurations, computation and optimization of energy, packing and covering, multi-pole methods, sparsity, and frames, and the theory of lattices with applications to coding and cryptography.

Image for "Point Configurations in Geometry, Physics and Computer Science"

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Visit dates listed on the participant list may be tentative and subject to change without notice.

Semester Schedule

Thursday, February 1, 2018
TimeEventLocationMaterials
9:00 - 4:00pm ESTParticipant Check-In121 South Main Street, Providence, RI, United States 11th Floor 
3:30 - 4:00pm ESTInformal Coffee/Tea Break11th Floor Collaborative Space 
Friday, February 2, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Monday, February 5, 2018
TimeEventLocationMaterials
9:30 - 10:00am ESTProgram Welcome - Brendan Hassett, ICERM Director11th Floor Lecture Hall 
10:00 - 10:30am ESTProgram Organizer Welcome11th Floor Lecture Hall 
11:00 - 12:00pm ESTPostdocs and Graduate Student Meeting with ICERM Directorate11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Tuesday, February 6, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, February 7, 2018
TimeEventLocationMaterials
1:00 - 2:00pm ESTComputational Challenges Working Group: Discussion of Software Packages Related to Program - Henry Cohn, Microsoft Research11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Thursday, February 8, 2018
TimeEventLocationMaterials
2:00 - 2:10pm ESTIce Breaker Talk - David de Laat, CWI, Netherlands11th Floor Lecture Hall
2:10 - 2:20pm ESTIce Breaker Talk - Juan Criado del Rey, University of Cantabria11th Floor Lecture Hall
2:20 - 2:30pm ESTIce Breaker Talk - Maria Dostert, University of Cologne11th Floor Lecture Hall
2:30 - 2:40pm ESTIce Breaker Talk - Ujué Etayo, Universidad de Cantabria11th Floor Lecture Hall
2:40 - 2:50pm ESTIce Breaker Talk - Ahram Feigenbaum, Vanderbilt University11th Floor Lecture Hall
2:50 - 3:00pm ESTIce Breaker Talk - Wai Yeung Lam, Brown University11th Floor Lecture Hall
3:00 - 3:10pm ESTIce Breaker Talk - Philippe Moustrou, IMB, Université de Bordeaux11th Floor Lecture Hall
3:10 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
4:00 - 4:10pm ESTIce Breaker Talk - Oleksandr Vlasiuk, Vanderbilt University11th Floor Lecture Hall
4:10 - 4:20pm ESTIce Breaker Talk - Yuguang Wang, La Trobe University and UNSW Sydney11th Floor Lecture Hall
4:20 - 4:30pm ESTIce Breaker Talk - Wei-Hsuan Yu, ICERM11th Floor Lecture Hall  
Friday, February 9, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Monday, February 12, 2018
TimeEventLocationMaterials
11:00 - 12:00pm ESTGraduate Student Postdoc Seminar - On sets avoiding distance 1 - Philippe Moustrou, IMB, Université de Bordeaux11th Floor Conference Room
2:45 - 3:00pm ESTOpen Problem Session - Christine Bachoc, University of Bordeaux11th Floor Lecture Hall
3:00 - 3:15pm ESTOpen Problem Session - Henry Cohn, Microsoft Research New England11th Floor Lecture Hall
3:15 - 3:30pm ESTOpen Problem Session - Peter Grabner, Technische Universität Graz11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
4:00 - 4:15pm ESTOpen Problem Session - Doug Hardin, Vanderbilt University11th Floor Lecture Hall
4:15 - 4:30pm ESTOpen Problem Session - Edward Saff, Vanderbilt University11th Floor Lecture Hall
4:30 - 4:45pm ESTOpen Problem Session - Rob Womersley, University of New South Wales11th Floor Lecture Hall
Tuesday, February 13, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, February 14, 2018
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Ethics 1 - Mandatory for Grads and Postdocs receiving NSF funding11th Floor Lecture Hall
1:00 - 2:00pm ESTFocus Group on Computational Challenges, Polyhedral - a software for lattice, polytopes, and group computations - Mathieu Dutour Sikiric, Rudjer Boskovic Institute11th Floor Lecture Hall 
3:30 - 4:30pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Thursday, February 15, 2018
TimeEventLocationMaterials
1:00 - 2:00pm ESTFocus Group: Modular Forms and Packing Problems - Henry Cohn, Microsoft Research New England11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Friday, February 16, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Monday, February 19, 2018
TimeEventLocationMaterials
11:00 - 12:00pm ESTDiscrepancy and energy minimization on the sphere - Dmitriy Bilyk, University of Minnesota11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Tuesday, February 20, 2018
TimeEventLocationMaterials
11:00 - 12:00pm ESTKronecker sequences and quasi-periodic functions. - Nikolay Moshchevitin, Moscow State University11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, February 21, 2018
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Ethics 2 - Mandatory for Grads and Postdocs receiving NSF funding11th Floor Lecture Hall 
1:00 - 2:00pm ESTFocus Group on Computational Challenges: Efficient spherical designs with good geometric properties - Robert Womersley, University of New South Wales11th Floor Lecture Hall 
2:00 - 3:00pm ESTTutorial on Determinantal Point Process - Ujué Etayo, Universidad de Cantabria and Peter Grabner, Technische Universität Graz11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
4:30 - 5:30pm ESTEnergy, Soccer Balls, and Bagels - Edward Saff, Vanderbilt University Foxboro Auditorium, Kassar House 151 Thayer StreetFoxboro Auditorium, Kassar House 151 Thayer Street 
Thursday, February 22, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Friday, February 23, 2018
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Monday, February 26, 2018
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration121 South Main Street Providence RI 11th Floor Collaborative Space 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am ESTThe 2D Coulomb gas and the Gaussian free field - Paul Bourgade, NYU11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:00am ESTStatistical physics approach for one and two-dimensional log-gases - Thomas Leblé, Courant Institute of Mathematical Sciences11th Floor Lecture Hall
11:30 - 12:15pm ESTRenormalized Energy Equidistribution and Local Charge Balance in Coulomb Systems - Simona Rota Nodari, Université de Bourgogne11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTDynamics of a planar Coulomb gas - Djalil Chafaï, Université Paris-Dauphine11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTConcentration for Coulomb gases and Coulomb transport inequalities - Mylène Maïda, Université des Sciences et Technologies de Lille11th Floor Lecture Hall
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Tuesday, February 27, 2018
TimeEventLocationMaterials
9:00 - 9:45am ESTThe random landscape of spiked tensors - Gérard Ben Arous, NYU11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTSpectral gap in bipartite biregular graphs and applications - Ioana Dumitriu, University of Washington11th Floor Lecture Hall
11:30 - 12:15pm ESTRandom Polynomial Mappings - Norman Levenberg, University of Indiana11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTThe two periodic Aztec diamond - Arno Kuijlaars, KU Leuven11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTPoint distributions on the sphere - energy minimization, discrepancy, and more. - Dmitriy Bilyk, University of Minnesota11th Floor Lecture Hall
5:00 - 6:00pm ESTProblem Sessions11th Floor Lecture Hall 
Wednesday, February 28, 2018
TimeEventLocationMaterials
9:00 - 9:45am ESTGaussian Free Field in (self-adjoint) random matrices and random surfaces - Alexei Borodin, MIT11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTConvolutions and fluctuations- free, finite, quantized - Vadim Gorin, MIT11th Floor Lecture Hall
11:30 - 12:15pm ESTUniversality for Discrete Beta models - Alice Guionnet, ENS de Lyon11th Floor Lecture Hall
12:30 - 12:40pm ESTWorkshop Group Photo11th Floor Lecture Hall 
12:40 - 2:15pm ESTBreak for Lunch / Free Time  
2:15 - 3:00pm ESTCrystal problems for binary systems - Laurent Bétermin, University of Copenhagen11th Floor Lecture Hall
3:00 - 4:15pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:15 - 5:00pm ESTOn some concrete criteria for quantum and stochastic confinement - Irina Nenciu, University of Illinois11th Floor Lecture Hall
6:30 - 8:00pm ESTPublic Lecture Sleeping Beauty and Other Probability Conundrums - Peter Winkler, Dartmouth  
Thursday, March 1, 2018
TimeEventLocationMaterials
9:00 - 9:45am ESTTwo manifestations of rigidity in point sets- forbidden regions and maximal degeneracy - Subhro Ghosh, National University of Singapore11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTNovel Computations with Random Matrix Theory and Julia - Alan Edelman, MIT11th Floor Lecture Hall
11:30 - 12:15pm ESTFinite-range kernel decompositions and asymptotic Optimal Transport between configurations - Mircea Petrache, Pontificia Universidad Catolica de Chile11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTRandom matrices, operators and analytic functions - Benedek Valko, University of Wisconsin – Madison11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTRandom matrix limits via stochastic differential equations - Diane Holcomb, University of Arizona11th Floor Lecture Hall
5:00 - 5:45pm ESTConvergence of spectral measures and eigenvalue rigidity in random matrices - Elizabeth Meckes, Case Western University11th Floor Lecture Hall
Friday, March 2, 2018
TimeEventLocationMaterials
9:00 - 9:45am ESTRandom configurations with low energy - Carlos Beltrán, Universidad de Cantrabria (Spain)11th Floor Lecture Hall
10:00 - 10:45am ESTOn the universal optimality of the 600-cell - the Levenshtein framework lifted - Peter Dragnev, Purdue University Fort Wayne11th Floor Lecture Hall
10:45 - 11:15am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00pm ESTAsymptotic results for the polarization problem in the hypersingular case - Sergiy Borodachov, Towson University11th Floor Lecture Hall
12:15 - 1:45pm ESTBreak for Lunch / Free Time  
1:45 - 2:30pm ESTDeterministic and non-deterministic Hyperuniformity in the compact setting - Johann Brauchart, Graz University of Technology11th Floor Lecture Hall
2:45 - 3:15pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:15 - 4:15pm ESTMean-Field limits for Coulomb dynamics - Sylvia Serfaty, Courant Institute of Mathematical Science a Joint lecture with Brown University PDE seminar11th Floor Lecture Hall
Monday, March 5, 2018
TimeEventLocationMaterials
11:00 - 12:00pm ESTGraduate Student-Postdoc Seminar- New bounds for spherical two-distance sets and equiangular lines - Wei-Hsuan Yu, Brown University, Institute for Computational and Experimental Research in Mathematics11th Floor Conference Room
2:00 - 3:00pm ESTSemidefinite programming I - Christine Bachoc, Université de Bordeaux11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm ESTBest-Packing in 4 Dimensions - Oleg Musin, University of Texas Rio Grande Valley11th Floor Lecture Hall  
Tuesday, March 6, 2018
TimeEventLocationMaterials
2:00 - 3:00pm ESTSemidefinite programming II - Christine Bachoc, Université de Bordeaux11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, March 7, 2018
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Job Applications11th Floor Lecture Hall
1:00 - 2:00pm ESTSemidefinite programming III - David de Laat, MIT - ICERM11th Floor Lecture Hall
2:30 - 3:30pm ESTPolynomial Metric Spaces. - Peter Boyvalenkov, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Thursday, March 8, 2018
TimeEventLocationMaterials
10:00 - 11:00am ESTTutorial: Large Deviation Principles - Djalil Chafai, Universite Paris-Dauphine11th Floor Lecture Hall 
11:00 - 11:10am ESTGrad Student/ Postdoc Photo11th Floor Collaborative Space 
1:00 - 2:00pm ESTFocus Group: Modular Forms and Packing Problems Part III - Henry Cohn, Microsoft Research New England11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
Friday, March 9, 2018
TimeEventLocationMaterials
11:00 - 12:00pm ESTA preview of the Fast Algorithms workshop - Adrianna Gillman, Rice University11th Floor Lecture Hall 
2:00 - 3:00pm ESTSpherical codes with inner products in a prescribed interval - Peter Dragnev, Purdue University 11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee and Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm ESTComputing Discrepancy - Woden Kusner, Vanderbilt University11th Floor Lecture Hall 
Monday, March 12, 2018
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration121 South Main Street Providence RI 11th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am EDTAn introduction to the Fast Multipole Method - Per-Gunnar Martinsson, University of Oxford11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTBuilding a better non-uniform fast Fourier transform - Alex Barnett, Flatiron Institute11th Floor Lecture Hall
11:30 - 12:15pm EDTGPU algorithms for hierarchical matrix operations - George Turkiyyah, American University of Beirut11th Floor Lecture Hall
12:15 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTImproving Particle Methods - Robert Krasny, University of Michigan11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:00 - 4:45pm EDTFast algorithms for data visualization - Manas Rachh, Yale University11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, March 13, 2018
TimeEventLocationMaterials
9:00 - 5:00pm EDTBrown University/ ICERM Closed  
Wednesday, March 14, 2018
TimeEventLocationMaterials
8:30 - 8:50am EDTTBA - Doug Hardin, Vanderbilt University11th Floor Lecture Hall 
8:55 - 9:40am EDTNew Methods and Models for Condensed Phase Simulation - Teresa Head-Gordon, University of California, Berkeley11th Floor Lecture Hall
9:50 - 10:15am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:15 - 11:00am EDTFast Ewald summation for electrostatic potentials with arbitrary periodicity - Anna-Karin Tornberg, KTH Royal Institute of Technology11th Floor Lecture Hall
11:10 - 11:55am EDTRapid Point Reconfiguration for High-dimensional Interactions: Algorithms & Emerging Applications - Xiaobai Sun, Duke University11th Floor Lecture Hall 
12:05 - 1:30pm EDTLunch provided at ICERM  
1:30 - 2:00pm EDTMesh-Free Applications for Static and Dynamically Changing Node Configurations - Natasha Flyer, NCAR11th Floor Lecture Hall
2:10 - 2:55pm EDTLayer potentials for diffusion MRI modeling and simulation - Jing-Rebecca Li, INRIA11th Floor Lecture Hall
3:05 - 3:25pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
3:25 - 4:10pm EDTMolecular surface meshing and applications in numerical simulation - Benzhuo Lu, Chinese Academy of Sciences11th Floor Lecture Hall
4:20 - 5:05pm EDTHigh-dimensional node generation with variable density - Oleksandr Vlasiuk, Vanderbilt University11th Floor Lecture Hall
5:10 - 5:55pm EDTFast multipole methods in arbitrary dimensions - George Biros, The University of Texas at Austin11th Floor Lecture Hall
Thursday, March 15, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTAn Introduction to Integral Equations - Adrianna Gillman, Rice University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTIntegral equation methods for the Laplace-Beltrami problem - Mike O'Neil, Courant Institute, NYU11th Floor Lecture Hall
11:30 - 12:15pm EDTAdaptive grids for embedded integral equation based solvers - Travis Askham, University of Washington11th Floor Lecture Hall
12:25 - 12:35pm EDTWorkshop Group Photo11th Floor Lecture Hall 
12:35 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTA fast direct solver for boundary value problems on locally perturbed geometries. - Yabin Zhang, Rice University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:00 - 4:45pm EDTEfficient and Accurate Discretization of Singular Integral Operators on Surfaces - James Bremer, University of California, Davis11th Floor Lecture Hall
Friday, March 16, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTOn the Hierarchical Modeling Technique with Applications - Jingfang Huang, The University of North Carolina at Chapel Hill11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTOn the solution of the biharmonic equation on regions with corners - Kirill Serkh, New York University11th Floor Lecture Hall
11:30 - 12:15pm EDTFrom Kaczmarz algorithm to minimal energy problems - Xuemei Chen, University of San Francisco11th Floor Lecture Hall
12:15 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTCollaborative Time Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:00 - 4:45pm EDTCollaborative Time Collaborative Space 
Monday, March 19, 2018
TimeEventLocationMaterials
11:00 - 12:00pm EDTGraduate Student and Postdoc Seminar - Some estimates for numerical integration errors and discrete energy on spheres of arbitrary dimension - Tetiana Stepaniuk, Graz University of Technology11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Tuesday, March 20, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, March 21, 2018
TimeEventLocationMaterials
12:00 - 5:00pm EDTSemester Program Working Hours (No talks scheduled)  
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Thursday, March 22, 2018
TimeEventLocationMaterials
1:00 - 2:00pm EDTFocus Group: Modular Forms and Packing Problems Part IV - Peter Grabner, Technische Universität Graz11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTRefinements of Levenshtein bounds in q-ary Hamming spaces - Maya Stoyanova, Sofia University11th Floor Lecture Hall
Friday, March 23, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Monday, March 26, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Tuesday, March 27, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, March 28, 2018
TimeEventLocationMaterials
12:00 - 5:00pm EDTSemester Program Working Hours - No talks scheduled   
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Thursday, March 29, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Friday, March 30, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Monday, April 2, 2018
TimeEventLocationMaterials
11:00 - 12:00pm EDTGraduate Student Postdoc Seminar- Critical points of logarithmic energy and quadratic differentials - Wai Yeung Lam, Brown University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Tuesday, April 3, 2018
TimeEventLocationMaterials
11:00 - 12:00pm EDTGraduate Student and Postdoc Seminar - Balayage and separation distance of minimal energy points - Juan González Criado del Rey, University of Cantabria11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, April 4, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Hiring Process11th Floor Lecture Hall
12:00 - 4:30pm EDTSemester Program Working Hours (No Talks Scheduled)  
3:00 - 4:00pm EDTHyperuniformity on the sphere - Peter Grabner, Technische Universitat Graz Location Kassar 105, Brown Math Department 151 Thayer St, Providence.Kassar 105  
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
4:30 - 6:00pm EDTDistinguished Lecture Series Sphere packing and the magic dimensions 8 and 24 - Dr. Henry Cohn of Microsoft Research. Location Foxboro Auditorium, Kassar House 151 Thayer StreetFoxboro Auditorium, Kassar House 151 Thayer Street 
Thursday, April 5, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
4:00 - 5:30pm EDTDistinguished Lecture Series: Sphere packing and uncertainty principles - Dr. Henry Cohn of Microsoft Research. Location: Foxboro Auditorium, Kassar House 151 Thayer StreetFoxboro Auditorium, Kassar House 151 Thayer Street 
Friday, April 6, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
4:00 - 5:30pm EDTDistinguished Lecture Series: Sphere packing and Gaussian energy - Dr. Henry Cohn of Microsoft Research. Location: Foxboro Auditorium, Kassar House 151 Thayer StreetFoxboro Auditorium, Kassar House 151 Thayer Street 
Monday, April 9, 2018
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration121 South Main Street Providence RI 11th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am EDTHyperuniform Point Configurations - Salvatore Torquato, Princeton University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTPacking and Assembling Spheres in Cylindrical Confinement - Patrick Charbonneau, Duke University11th Floor Lecture Hall
11:30 - 12:15pm EDTRandom walks on perfect lattices and the sphere packing problem. - Antonello Scardicchio, International Centre for Theoretical Physics11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTLimit-periodic tilings in 1, 2, and 3 dimensions - Joshua Socolar, Physics Department, Duke University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:00 - 4:45pm EDTComplete positivity and distance-avoiding sets - Fernando de Oliveira Filho, Technical University Delft11th Floor Lecture Hall 
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, April 10, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTComputation of good point sets for separation, covering and polarization on the sphere - Robert Womersley, University of New South Wales11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTApproximation of 1-qubit gates Energy and Discrepancy. - Steve Damelin, American Mathematical Society11th Floor Lecture Hall
11:30 - 12:15pm EDTPackings in spherical confinements - Marjolein Dijkstra, Debye institute for Nanomaterials Science, Utrecht University11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTPacking Liquid Crystal Domains - Randall Kamien, University of Pennsylvania11th Floor Lecture Hall
3:30 - 5:00pm EDTPoster Session Coffee/Tea Break 11th Floor Collaborative Space 
Wednesday, April 11, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTHyperuniformity on the sphere - Peter Grabner, Technische Universität Graz11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTTammes' problem and irreducible contact graphs - Oleg Musin, University of Texas Rio Grande Valley11th Floor Lecture Hall 
11:30 - 12:15pm EDTGordian Configurations - Woden Kusner, Vanderbilt University11th Floor Lecture Hall
12:30 - 12:40pm EDTWorkshop Group Photo11th Floor Lecture Hall 
12:40 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTUniversal hidden order in amorphous cellular geometries - Gerd Schroeder-Turk, Murdoch University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:00 - 4:45pm EDTNew bounds for spherical finite distance sets - David de Laat, ICERM - MIT11th Floor Lecture Hall
6:30 - 8:00pm EDTPublic Lecture: Crowd Computing: Scientific discoveries by protein-folding game players - Firas Khatib, UMass Dartmouth11th Floor Lecture Hall 
Thursday, April 12, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTThe upper density of sets avoiding norm one in the real space of dimension n - Christine Bachoc, Université de Bordeaux11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTSets with few distances and their optimality - Alexey Glazyrin, University of Texas Rio Grande Valley11th Floor Lecture Hall
11:30 - 12:15pm EDTLattice Coverings - Mathieu Dutour Sikiric, Institut Rudjer Boskovic11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTEnergy minimization for periodic sets in Euclidean spaces - Renaud Coulangeon, Université de Bordeaux11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:00 - 4:45pm EDTSpherical designs, complex spherical designs, and unitary designs - Eiichi Bannai, Kyushu University11th Floor Lecture Hall
Friday, April 13, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTTBA - Henry Cohn, Microsoft Research New England11th Floor Lecture Hall 
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTThe Gaussian core model in high dimensions - Matthew de Courcy-Ireland, Princeton University11th Floor Lecture Hall
11:30 - 12:15pm EDT5 Points on a sphere - Richard Schwartz, Brown University11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
Monday, April 16, 2018
TimeEventLocationMaterials
11:00 - 12:00pm EDTGraduate Student/Postdoc Seminar - Matthew de Courcy-Ireland, Princeton University11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Tuesday, April 17, 2018
TimeEventLocationMaterials
11:00 - 12:00pm EDTGraduate Student Postdoc Seminar- Tight framelets and fast framelet filter bank transforms on manifolds - Yu Guang Wang, ICERM- LTU - UNSW11th Floor Conference Room
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, April 18, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Papers, Journals and Grants11th Floor Lecture Hall 
12:00 - 5:00pm EDTSemester Program Working Hours (No talks scheduled)  
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Thursday, April 19, 2018
TimeEventLocationMaterials
2:00 - 3:00pm EDTOn the Grayson-Stuhler Filtration of Euclidean Lattices - Renaud Coulangeon, Université de Bordeaux11th Floor Lecture Hall
3:30 - 4:30pm EDTSemester Program Organizer Meeting11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Friday, April 20, 2018
TimeEventLocationMaterials
2:00 - 3:00pm EDTAlmost orthogonal vectors - William J. Martin, Worcester Polytechnic Institute11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Monday, April 23, 2018
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration121 South Main Street Providence RI 11th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 10:00am EDTA Reverse Minkowski Theorem - Oded Regev, Courant Institute, New York University11th Floor Lecture Hall
10:15 - 10:45am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:45 - 11:30am EDTOn Approximating the Covering Radius and Finding Dense Lattice Subspaces - Daniel Dadush, CWI11th Floor Lecture Hall
11:40 - 12:40pm EDTLogarithmic Lattices - Leo Ducas, CWI11th Floor Lecture Hall
12:40 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:30pm EDTVariations and Applications of Voronoi’s Algorithm - Achill Schurmann, Universität Rostock11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:15 - 5:00pm EDTComputational Challenges in Perfect form theory - Mathieu Dutour Sikiric, Institut Rudjer Boskovic11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, April 24, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTOn algebraic variants of the LWE problem - Damien Stehlé, ENS de Lyon11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTHardness and advantages of Module-SIS and LWE - Adeline Roux-Langlois, Univ Rennes, CNRS, IRISA11th Floor Lecture Hall
11:30 - 12:15pm EDTAutomorphisms of even unimodular lattices - Eva Bayer, EPFL11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTLattice methods for algebraic modular forms on orthogonal groups - John Voight, Dartmouth College11th Floor Lecture Hall
3:30 - 5:00pm EDTPoster Session 11th Floor Collaborative Space 
Wednesday, April 25, 2018
TimeEventLocationMaterials
9:00 - 10:00am EDTApplications of harmonic analysis to packing and covering problems - Stephen Miller, Rutgers University11th Floor Lecture Hall
10:15 - 10:45am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:45 - 11:30am EDTSphere packing, lattice packing, and related problems - Abhinav Kumar, Stony Brook University11th Floor Lecture Hall
11:40 - 12:25pm EDTLattice packings of superballs - Maria Dostert, ICERM - EPFL11th Floor Lecture Hall
12:30 - 12:40pm EDTWorkshop Group Photo11th Floor Lecture Hall 
12:40 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTTesting isomorphism of lattices over CM-orders - Alice Silverberg, University of California, Irvine11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:00 - 4:45pm EDTOrders and their discriminants - Hendrik Lenstra, Universiteit Leiden11th Floor Lecture Hall
Thursday, April 26, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTFully Homomorphic Encryption - Simple Construction and Open Problems - Daniele Micciancio, UCSD11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTThe hidden number problem revisited - Nadia Heninger, University of Pennsylvania11th Floor Lecture Hall
11:30 - 12:15pm EDT On the Probability of Primitive Sets and Generators in Lattices - Phong Nguyen, Inria and CNRS, JFLI, University of Tokyo11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTLattices generated by equiangular tight frames - Lenny Fukshansky, Claremont McKenna College11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break 11th Floor Collaborative Space 
4:00 - 4:45pm EDTOn the Density of Sets Avoiding Parallelohedron Distance 1 - Philippe Moustrou, ICERM11th Floor Lecture Hall
Friday, April 27, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTSignatures from finite field isomorphisms - Jeffrey Hoffstein, Brown University11th Floor Lecture Hall 
10:00 - 10:30am EDTCoffee/Tea Break 11th Floor Collaborative Space 
10:30 - 11:15am EDTSpinor regular ternary quadratic lattices - Anna Haensch, Duquesne Univeristy and Max Planck Institute for Mathematics11th Floor Lecture Hall
11:30 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 3:30pm EDTOpen Problem Sessions - Ed Saff, Vanderbilt University11th Floor Lecture Hall
3:30 - 5:00pm EDTSemester Program Closing Reception 11th Floor Collaborative Space 
Monday, April 30, 2018
TimeEventLocationMaterials
11:00 - 12:00pm EDTGraduate Student/Postdoc Seminar - TBA11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Tuesday, May 1, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Wednesday, May 2, 2018
TimeEventLocationMaterials
12:00 - 5:00pm EDTSemester Program Working Hours - No talks scheduled   
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Thursday, May 3, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 
Friday, May 4, 2018
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee and Tea Break11th Floor Collaborative Space 

Associated Semester Workshops

Optimal and Random Point Configurations
Image for "Optimal and Random Point Configurations"
Feb 26 - Mar 2, 2018
Semester Workshop

Publications

  • Matthew de Courcy-Ireland, Suresh Eswarathasan, Effective bounds for monochromatic connectivity measures in two dimensions, Nonlinearity 34 (2021) no. 10, 7144.
  • Rafael D{\'\i}az Fuentes, Marco Donatelli, Caterina Fenu, Giorgio Mantica, Estimating the trace of matrix functions with application to complex networks, Numerical Algorithms 92 (2023) no. 1, 503--522.
  • Sarth Chavan, Christophe Vignat, Evaluation of multivariate integrals based on a duality identity for the Stieltjes transform, arXiv preprint arXiv:2105.11771 (2021).
  • Maria Dostert, David De Laat, Philippe Moustrou, Exact semidefinite programming bounds for packing problems, SIAM Journal on Optimization 31 (2021) no. 2, 1433--1458.
  • Christian Hess, Raffaello Seri, Generic consistency for approximate stochastic programming and statistical problems, SIAM Journal on Optimization 29 (2019) no. 1, 290--317.
  • Eva Bayer-Fluckiger, Isometries of lattices and automorphisms of K3 surfaces, arXiv preprint arXiv:2107.07583 (2021).
  • Peter D Dragnev, Oleg R Musin, Log-optimal (d+ 2)-configurations in d-dimensions, arXiv preprint arXiv:1909.09909 (2019).
  • Raffaello Seri, Mario Martinoli, Davide Secchi, Samuele Centorrino, Model calibration and validation via confidence sets, Econometrics and Statistics 20 (2021), 62--86.
  • Maria Dostert, Frank Vallentin, New dense superball packings in three dimensions, Advances in Geometry 20 (2020) no. 4, 473--482.
  • Valentin Dannenberg, Achill Sch{\"u}rmann, Perfect Copositive Matrices, arXiv preprint arXiv:2303.17310 (2023).
  • Matthew de Courcy-Ireland, Maria Dostert, Maryna Viazovska, Six-dimensional sphere packing and linear programming, arXiv preprint arXiv:2211.09044 (2022).
  • Uju{\'e} Etayo, Spherical cap discrepancy of the diamond ensemble, Discrete \& Computational Geometry 66 (2021) no. 4, 1218--1238.
  • Tanay Wakhare, Christophe Vignat, Structural properties of multiple zeta values, International Journal of Number Theory 17 (2021) no. 08, 1873--1897.
  • Carlos Beltr{\'a}n, Uju{\'e} Etayo, The Diamond ensemble: a constructive set of points with small logarithmic energy, arXiv preprint arXiv:1809.09416 (2018).
  • Fabr{\'\i}cio Caluza Machado, Sinai Robins, The null set of a polytope, and the Pompeiu property for polytopes, arXiv preprint arXiv:2104.01957 (2021).
  • Ali Abdolali, Tyler J Hesser, Mary Anderson Bryant, Aron Roland, Arslaan Khalid, Jane Smith, Celso Ferreira, Avichal Mehra, Mathieu Dutour Sikiric, Wave Attenuation by Vegetation: Model Implementation and Validation Study, Frontiers in Built Environment (2022), 88.
  • Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Edward Saff, Maya Stoyanova, Next levels universal bounds for spherical codes: the Levenshtein framework lifted, arXiv preprint arXiv:1906.03062 (2019).
  • PG Boyvalenkov, PD Dragnev, DP Hardin, EB Saff, MM Stoyanova, On polarization of spherical codes and designs, Journal of Mathematical Analysis and Applications 524 (2023) no. 1, 127065.
  • Djalil Chafa{\"\i}, Edward B Saff, Robert S Womersley, On the solution of a Riesz equilibrium problem and integral identities for special functions, Journal of Mathematical Analysis and Applications 515 (2022) no. 1, 126367.
  • Peter D Dragnev, Alan R Legg, Edward B Saff, Point source equilibrium problems with connections to weighted quadrature domains, Indagationes Mathematicae 34 (2023) no. 2, 200--218.
  • PD Dragnev, Ramon Orive, Edward B Saff, Franck Wielonsky, Riesz energy problems with external fields and related theory, Constructive Approximation 57 (2023) no. 1, 1--43.
  • Djalil Chafa{\"\i}, Edward B Saff, Robert S Womersley, Threshold condensation to singular support for a Riesz equilibrium problem, Analysis and Mathematical Physics 13 (2023) no. 1, 19.
  • Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Edward Saff, Maya Stoyanova, Universal minima of discrete potentials for sharp spherical codes, arXiv preprint arXiv:2211.00092 (2022).
  • Sinai Robins, A friendly introduction to Fourier analysis on polytopes, arXiv preprint arXiv:2104.06407 (2021).
  • Carlos Beltr{\'a}n, Uju{\'e} Etayo, Jordi Marzo, Joaquim Ortega-Cerd{\`a}, A sequence of polynomials with optimal condition number, Journal of the American Mathematical Society 34 (2021) no. 1, 219--244.
  • Mathieu Dutour Sikiri{\'c}, Achill Sch{\"u}rmann, Frank Vallentin, A simplex algorithm for rational cp-factorization, Mathematical Programming 187 (2021) no. 1-2, 25--45.
  • Sergiy Borodachov, Absolute Minima of Potentials of a Certain Class of Spherical Designs, arXiv preprint arXiv:2212.04594 (2022).
  • Sergiy Borodachov, Absolute minima of potentials of certain regular spherical configurations, arXiv preprint arXiv:2210.04295 (2022).
  • Eva Bayer-Fluckiger, Alexander polynomials and signatures of some high-dimensional knots, arXiv preprint arXiv:2202.03027 (2022).
  • Zachary P Bradshaw, Christophe Vignat, An Operational Calculus Generalization of Ramanujan's Master Theorem, Journal of Mathematical Analysis and Applications (2023), 127029.
  • Giorgio Mantica, Asymptotic behavior of Jacobi matrices of IFS: a long-standing conjecture, Analysis, Probability and Mathematical Physics on Fractals, World Scientific, 2020, pp. 243--271.
  • Raffaello Seri, Asymptotic Distributions of Covering and Separation Measures on the Hypersphere, Discrete \& Computational Geometry 69 (2023) no. 2, 285--299.
  • Raffaello Seri, Mario Martinoli, Asymptotic properties of the plug-in estimator of the discrete entropy under dependence, IEEE Transactions on Information Theory 67 (2021) no. 12, 7659--7683.
  • Eva Bayer-Fluckiger, Automorphisms of K3 surfaces, signatures, and isometries of lattices, arXiv preprint arXiv:2209.06698 (2022).
  • Alexander Barg, Peter Boyvalenkov, Maya Stoyanova, Bounds for the sum of distances of spherical sets of small size, Discrete Mathematics 346 (2023) no. 5, 113346.
  • Raffaello Seri, Computing the asymptotic distribution of second-order U-and V-statistics, Computational Statistics \& Data Analysis 174 (2022), 107437.
  • Giorgio Mantica, CT--scans of fractal and non fractal measures in the plane coded by affine homogeneous iterated function systems, Communications in Nonlinear Science and Numerical Simulation 91 (2020), 105410.
  • Parth Chavan, Sarth Chavan, Christophe Vignat, Tanay Wakhare, Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values, The Ramanujan Journal 59 (2022) no. 4, 1245--1285.
  • Sergiy Borodachov, Douglas Hardin, Edward Saff, Discrete Energy on Rectifiable Sets, 2019.
  • Yu Guang Wang, Robert S. Womersley, Hau-Tieng Wu, Wei-Hsuan Yu, Numerical computation of triangular complex spherical designs with small mesh ratio, arXiv:1907.13493, 2019.
  • Johann S. Brauchart, Peter J. Grabner, Wöden Kusner, Jonas Ziefle, Hyperuniform point sets on the sphere: probabilistic aspects, Monatshefte für Mathematik 192 (2020) no. 4, 763–781.
  • Karl Dilcher, Armin Straub, Christophe Vignat, Identities for Bernoulli polynomials related to multiple Tornheim zeta functions, Journal of Mathematical Analysis and Applications (2019).
  • Tanay Wakhare, Christophe Vignat, Multiple zeta values for classical special functions, The Ramanujan Journal 51 (2020), .
  • Maria Dostert, Frank Vallentin, New dense superball packings in three dimensions, Advances in Geometry 20 (2020) no. 4, 473–482.
  • Eiichi Bannai, Mikio Nakahara, Da Zhao, Yan Zhu, On the explicit constructions of certain unitary t-designs, Journal of Physics A: Mathematical and Theoretical 52 (2019) no. 49, 495301.
  • Mathieu Dutour Sikirić, Alexey Garber, Alexander Magazinov, On the Voronoi Conjecture for Combinatorially Voronoi Parallelohedra in Dimension 5, SIAM Journal on Discrete Mathematics 34 (2020) no. 4, 2481–2501.
  • Mathieu Dutour Sikirić, Alexey Garber, Periodic Triangulations of $\mathbbZ^n$, The Electronic Journal of Combinatorics 27 (2020) no. 2.
  • Giorgio Mantica, Vilmos Totik, Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures: REGULARITY OF MINKOWSKI'S QUESTION MARK MEASURE, Journal of the London Mathematical Society 99 (2018), .
  • Alexey Glazyrin, Josiah Park, Repeated Minimizers of $p$-Frame Energies, SIAM Journal on Discrete Mathematics 34 (2020) no. 4, 2411–2423.
  • Zhongyang Li, Schur Function at General Points and Limit Shape of Perfect Matchings on Contracting Square Hexagon Lattices with Piecewise Boundary Conditions, International Mathematics Research Notices (2021).
  • Renaud Coulangeon, Gabriele Nebe, Slopes of Euclidean lattices, tensor product and group actions, Israel Journal of Mathematics 235 (2019), 39-61.
  • Yu Guang Wang, Xiaosheng Zhuang, Tight framelets on graphs for multiscale data analysis, 2019, pp. 11.
  • Peter J. Grabner, Tetiana A. Stepanyuk, Upper and lower estimates for numerical integration errors on spheres of arbitrary dimension, Journal of Complexity 53 (2019), 113–132.
  • Peter Boyvalenkov, Peter Dragnev, D. Hardin, Edward Saff, Maya Stoyanova, Linear Programming Bounds for Cardinality and Energy of Codes of Given Min and Max Distances, 2019, pp. .
  • P. Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya Stoyanova, Bounds for spherical codes: The Levenshtein framework lifted, Math. Comput. 90 (2021), 1323-1356.
  • P. Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya Stoyanova, On spherical codes with inner products in a prescribed interval, Designs, Codes and Cryptography 87 (2019), 299-315.
  • Peter Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya Stoyanova, Universal Bounds for Size and Energy of Codes of Given Minimum and Maximum Distances, IEEE Transactions on Information Theory 67 (2021), 3569-3584.
  • Peter Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya Stoyanova, Upper bounds for energies of spherical codes of given cardinality and separation, Designs, Codes and Cryptography (2020), 1-16.
  • Eva Bayer-Fluckiger, Isometries of lattices and Hasse principles, arXiv 2001.07094 (2020).
  • Quoc Thong Le Gia, Ian H. Sloan, Robert S. Womersley, Yu Guang Wang, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, arXiv 1801.03212 (2018).
  • Alexey A. Glazyrin, Moments of isotropic measures and optimal projective codes, arXiv 1904.11159 (2019).
  • Jordan Stoyanov, Christophe Vignat, Nonconventional limits of random sequences related to partitions of integers, arXiv 1901.04029 (2019), 1.
  • James Gary Propp, One-Dimensional Packing: Maximality Implies Rationality, arXiv 1704.08785 (2017).
  • Dmitriy Bilyk, Alexey A. Glazyrin, Ryan Matzke, Josiah Park, O. V. Vlasiuk, Optimal measures for p-frame energies on spheres, arXiv 1908.00885 (2019).
  • Zheng Ma, Ming Li, Yuguang Wang, PAN: Path Integral Based Convolution for Deep Graph Neural Networks, arXiv 1904.10996 (2019).
  • Matthew de Courcy-Ireland, Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds, arXiv 1902.05271 (2019).
  • Alexander Kolpakov, Sinai Robins, Spherical Pythagorean triples, and volume rationality of spherical tetrahedra, arXiv 1811.06598 (2018).
  • Tanay V. Wakhare, Christophe Vignat, Structural properties of multiple zeta values, arXiv 1809.07492 (2018).
  • Tanay V. Wakhare, Christophe Vignat, Taylor coefficients of the Jacobi \$\theta\_\3\left( q \right)\$ function, arXiv 1909.01508 (2019).
  • Douglas P. Hardin, Mircea Petrache, Edward B. Saff, Unconstrained Polarization (Chebyshev) Problems: Basic Properties and Riesz Kernel Asymptotics, arXiv 1902.08497 (2019).
  • Eiichi Bannai, Gabriel Navarro, Noelia Rizo, Pham Huu Tiep, Unitary \$t\$-groups, arXiv 1810.02507 (2018).
  • Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo V. Radchenko, Maryna S. Viazovska, Universal optimality of the \$E\_8\$ and Leech lattices and interpolation formulas, arXiv 1902.05438 (2019).
  • Mathieu Dutour Sikiri'c, Philippe Elbaz-Vincent, Alexander Kupers, Jacques Martinet, VORONOI COMPLEXES IN HIGHER DIMENSIONS, COHOMOLOGY OF \$GL\_N (Z)\$ FOR \$N\ge 8\$ AND THE TRIVIALITY OF \$K\_8 (Z)\$, arXiv 1910.11598 (2019).
  • Tanay Wakhare, Christophe Vignat, Quang-Nhat Le, Sinai Robins, A Continuous Analogue of Lattice Path Enumeration, The Electronic Journal of Combinatorics 26 (2017), .
  • Mathieu Dutour Sikirić, Achill Schürmann, Frank Vallentin, A simplex algorithm for rational cp-factorization, Mathematical Programming 187 (2020) no. 1-2, 25–45.
  • Lin Jiu, Tanay V. Wakhare, Christophe Vignat, Analytic continuation for multiple zeta values using symbolic representations, International Journal of Number Theory (2019).
  • Mathieu Dutour Sikirić, David A. Madore, Philippe Moustrou, Frank Vallentin, Coloring the Voronoi tessellation of lattices, Journal of the London Mathematical Society 104 (2021) no. 3, 1135–1171.
  • Peter J. Grabner, Tetiana A. Stepanyuk, Comparison of probabilistic and deterministic point sets on the sphere, Journal of Approximation Theory 239 (2019), 128–143.
  • A. Alahmadi, Michel Deza, Mathieu Sikiric, Patrick Solé, Covering aspects of the Niemeier lattices, European Journal of Combinatorics 80 (2018), .
  • Alexey Glazyrin, Covering by homothets and illuminating convex bodies, Proceedings of the American Mathematical Society (2021), 1.
  • Geoffrey R. Grimmett, Zhongyang Li, Cubic graphs and the golden mean, Discret. Math. 343 (2020), 111638.
  • Shao-Bo Lin, Yu Guang Wang, Ding-Xuan Zhou, Distributed filtered hyperinterpolation for noisy data on the sphere, SIAM J. Numer. Anal. 59 (2021), 634-659.
  • AHRAM S. FEIGENBAUM, PETER J. GRABNER, DOUGLAS P. HARDIN, Eigenfunctions of the Fourier transform with specified zeros, Mathematical Proceedings of the Cambridge Philosophical Society 171 (2021) no. 2, 329–367.
  • Dmitriy Bilyk, Alexey A. Glazyrin, Ryan Matzke, Josiah Park, O. V. Vlasiuk, Energy on spheres and discreteness of minimizing measures, Journal of Functional Analysis (2021).
  • Yen-chi Roger Lin, Wei-Hsuan Yu, Equiangular lines and the Lemmens-Seidel conjecture, Discret. Math. 343 (2020), 111667.
  • M. Dostert, David de Laat, Philippe Moustrou, Exact Semidefinite Programming Bounds for Packing Problems, SIAM J. Optim. 31 (2021), 1433-1458.
  • Theophile Caby, Giorgio Mantica, Extreme value theory of evolving phenomena in complex dynamical systems: Firing cascades in a model of a neural network, Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (2020) no. 4, 043118.
  • Ming Li, Zheng Ma, Yu Guang Wang, Xiaosheng Zhuang, Fast Haar Transforms for Graph Neural Networks, Neural networks : the official journal of the International Neural Network Society 128 (2020), 188-198.
  • Dmitriy Bilyk, Feng Dai, Stefan Steinerberger, General and refined Montgomery Lemmata, Mathematische Annalen 373 (2018), 1283-1297.
  • Théophile Caby, Davide Faranda, Giorgio Mantica, Sandro Vaienti, Pascal Yiou, Generalized dimensions, large deviations and the distribution of rare events, Physica D: Nonlinear Phenomena 400 (2019), 132143.
  • Johann Brauchart, Peter Grabner, Woden Kusner, Hyperuniform Point Sets on the Sphere: Deterministic Aspects, Constructive Approximation 50 (2019), .
  • D. P. Hardin, T. J. Michaels, E. B. Saff, ASYMPTOTIC LINEAR PROGRAMMING LOWER BOUNDS FOR THE ENERGY OF MINIMIZING RIESZ AND GAUSS CONFIGURATIONS, Mathematika 65 (2018) no. 1, 157–180.
  • P. Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya Stoyanova, Energy bounds for codes in polynomial metric spaces, Analysis and Mathematical Physics (2019), 1-28.
  • Jan Hamann, Quoc Thong Le Gia, Ian H. Sloan, Y. G. Wang, Robert S. Womersley, A New Probe of Gaussianity and Isotropy for CMB Maps, arXiv 1911.11442 (2019).
  • Tanay V. Wakhare, Christophe Vignat, A symbolic approach to the poly-Bernoulli numbers., arXiv 1903.05270 (2019).
  • Lin Jiu, Christophe Vignat, Connection Coefficients for Higher-order Bernoulli and Euler Polynomials: A Random Walk Approach, arXiv 1809.04636 (2018).
  • Henry Cohn, N. Triantafillou, Dual linear programming bounds for sphere packing via modular forms, arXiv 1909.04772 (2019).
  • Ming Li, Philip Broadbridge, Andriy Olenko, Yu Guang Wang, Fast Tensor Needlet Transforms for Tangent Vector Fields on the Sphere, arXiv 1907.13339 (2019).
  • Quoc Thong Le Gia, Ming Li, Yu Guang Wang, FaVeST: Fast Vector Spherical Harmonic Transforms, arXiv 1908.00041 (2019).
  • Zhongyang Li, Fluctuations of dimer heights on contracting square-hexagon lattices, arXiv 1809.08727 (2018).
  • Yu Guang Wang, Ming Li, Zheng Ma, Guido Mont{\'u}far, Xiaosheng Zhuang, Yanan Fan, HaarPooling: Graph Pooling with Compressive Haar Basis, arXiv 1909.11580 (2019).