Steven Amelotte’s research interests lie in algebraic topology with a focus on unstable homotopy theory, toric topology and its interactions with combinatorial commutative algebra. After receiving his Ph.D. in mathematics from the University of Toronto in 2018 under the supervision of Paul Selick, he worked as a Visiting Assistant Professor at the University of Rochester (2018-2021). Steven’s thesis work investigated homotopy decompositions of spaces closely related to spheres and their loop spaces. While continuing work in this direction, he is currently interested in the topology of moment-angle manifolds and other toric spaces and their relations to combinatorial and homological properties of Stanley-Reisner rings. Steven will be an ICERM Bridge Postdoc for the 2021/2022 academic year.

Justin Chen received his Ph.D. in Mathematics from the University of California, Berkeley in 2018 under the supervision of David Eisenbud. He is interested in various topics in commutative algebra and algebraic geometry, including free resolutions, unit groups, and primary decomposition. His work is particularly focused on computational aspects, and he has written multiple packages for the computer algebra system Macaulay2. Justin was a postdoc at Georgia Tech from 2018-2021, and will be an ICERM Bridge postdoc in 2021-2022.

Fabien Cléry received his Ph.D. in 2009 from the University of Lille 1. Since then, he has held positions at the University of Amsterdam, the University of Hannover, the University of Siegen, the Max Planck Institute for Mathematics in Bonn, and the University of Loughborough. His research interests are on two types of modular forms focusing on the theory but also on computational aspects. The two types of modular forms that he is currently studying are Siegel modular forms and Picard modular forms. Fabien is working as a Senior Research Associate David as part of the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation.

Dr. Stefan Czimek’s research interests are in the field of mathematical analysis of the Einstein equations, with a particular focus on problems at the intersection of analysis of PDE, differential geometry and theoretical physics. Among other results, he developed new methods for (1) the construction of solutions to the spacelike constraint equations, (2) the characteristic Cauchy problem in low regularity (at the level of L2-integrable curvature), and (3) the classification of conservation laws in general relativity. After earning his Bachelor’s and Master’s degree from ETH Zurich, sponsored by the university’s Excellence Scholarship, Stefan Czimek received his doctorate at the Université Pierre-et-Marie-Curie (Paris 6) in 2017. Since then he has held positions at the Field Institute for Research in the Mathematical Sciences and the University of Toronto. He will stay at the ICERM as an “Institute Postdoc” for the academic year 2020/21 in connection with the semester program “Advances in Computational Relativity”.

Louise Gassot's research interests lie in the field of dispersive partial differential equations, and focus on the long time behavior of solutions. She received her PhD in 2021 under the supervision of Patrick Gérard. She studies the Schrödinger equation on the Heisenberg group, in order to better understand the influence of geometry on the qualitative properties of solutions. She also uses the integrability of the Benjamin-Ono equation in the study of related Benjamin-Ono type equations. She will stay at ICERM as an "Institute Postdoc" for the academic year 2021-2022 in connection with the semester program "Hamiltonian Methods in Dispersive and Wave Evolution Equations".

Sudipta Kolay's research interests are in geometry and topology, with a particular focus on higher dimensional knots and braids. He received his PhD in Mathematics at Georgia Tech in 2021 under the supervision of John Etnyre. He will be at ICERM as an Institute Postdoc for the academic year 2021-22 associated with the semester program "Braids".

Kyle Liss’ research interests lie broadly in the analysis of differential equations (both deterministic and stochastic) arising in the study of fluids, plasmas, and nonlinear waves. He is particularly interested in fluid mechanics at high Reynolds number and hypoelliptic drift-diffusion equations with small diffusion coefficient. He earned his Ph.D in mathematics from the University of Maryland in 2021 under the supervision of Jacob Bedrossian. His thesis work investigated the stability of Couette flow at high Reynolds number in the magneto-hydrodynamic equations and the convergence rate to equilibrium for some hypoelliptic stochastic fluid models. He will be at ICERM as a semester postdoc during the Fall of 2021 participating in the “Hamiltonian Methods in Dispersive and Wave Evolution Equations” program. Starting in Spring 2022, he will be a postdoc at Duke.

David Lowry-Duda’s research interests primarily lie in analytic number theory, and in particular on automorphic forms and L-functions. During his PhD, he developed a new approach to study the size and behavior of automorphic forms. He has contributed to data creation for the LMFDB, as well as day-to-day maintenance. David completed his Ph.D. at Brown University in 2017, worked as a postdoctoral researcher at Warwick Mathematics Institute. David has returned to ICERM as a Senior Research Associate to work with Brendan Hassett as part of the Simons Collaboration on Arithmetic Geometry, Number Theory, and ComputationCollaboration on Arithmetic Geometry, Number Theory, and Computation.

Jayan Mukherjee is a postdoctoral fellow at ICERM for the academic year 2021-2022. Their supervisor is Professor Henry Schenck. Jayan's research interests are in Algebraic Geometry. More specifically, interested in syzygies of algebraic varieties, positivity of linear series, multiple structures on schemes and their smoothing, deformations of finite morphisms and moduli of varieties of general type. They are also interested in questions on rationality of stacks of finite covers over projective spaces. Jayan received their Ph.D in July 2021, from the University of Kansas where their advisor was Professor Purnaprajna Bangere.

Insung Park received PhD in August 2021 at Indiana University Bloomington under the supervision of Dylan Thurston. They will be a Simons bridge postdoc at ICERM for 2021-2022 and will be a postdoc research member of MSRI's semester program in 2022 spring. Insung is broadly interested in low-dimensional topology, geometry, and dynamics. In recent years, they’ve been mainly studying the dynamics of post-critically finite rational maps and its connection with metric geometry and geometric group theory. Their recent work is to characterize Julia sets with Ahlfors regular conformal dimension one in terms of invariant graphs with entropy zero.

Nancy Scherich is interested in algebraic problems with topological motivations. She researches the representation theory of the virtual and classical braid groups, finite type invariants, and invariants of virtual trivalent spatial graphs. Nancy has a particular fascination with specializations of the Burau representation and structures of subgroups/quotients of the braid group. She received her PhD from the University of California, Santa Barbara under the direction of Darren Long in 2019. She is currently a postdoc at the University of Toronto with Dror Bar-Natan, though she will spend the 2021/2022 academic year at ICERM. In addition to her research, Nancy uses dance as a medium to explain higher mathematics. In 2017, she won Science Magazine’s Dance your Phd competition with a dance video about representations of the braid groups. Visit her website to see more about her research and Math-Dance projects.

Rahul Singh earned his PhD from Northeastern University in 2019 under the advisement of V Lakshmibai. After spending two years working at Virginia Tech, he will be stationed at ICERM for the academic year 2021-22. He is broadly interested in the study of flag manifolds and their subvarieties. His recent work is on the conormal varieties and Mather classes of cominuscule Schubert varieties, and on various geometric and combinatorial aspects of Hessenberg varieties.

Annalaura Stingo’s research interests lie in the field of partial differential equations with particular focus on the analysis of dispersive equations at the intersection of general relativity and fluid mechanics. She has studied the problem of global stability of small solutions of critical equations such as two-dimensional quadratic wave-Klein-Gordon systems and systems of wave equations on product spaces with a periodic direction. After earning her Bachelor’s degree at the University Federico II in Naples, Annalaura received her Master’s degree and later her doctorate in 2018 at the Université Paris 13 under the supervision of professor Jean-Marc Delort. She has then held the position of Visiting Assistant Professor at the University of California, Davis. Annalaura will be a Semester Postdoc at ICERM this Fall as part of the program “Hamiltonian Methods in Dispersive and Wave Evolution Equations”.

Tony Wong is interested in the applications and numerical analysis of dynamical systems. He completed his PhD in 2021 at UBC under the supervision of Colin Macdonald and Michael Ward. His dissertation work studies localized patterns in linear and nonlinear pattern-forming models. In his next step, he would like to apply his analytical and computational skill sets to investigate pattern formation problems in a broader range of applications. He is looking forward to collaborate with experts from other fields in conducting multidisciplinary research. Tony will be a postdoctoral research associate at ICERM in the Fall of 2021, under the Simon Bridge Program.

Jiaqi Yang’s research interests lie in differential equations and dynamical systems. She received her Ph.D. in mathematics at Georgia Institute of Technology in 2021, under the supervision of Rafael de la Llave. Her PhD thesis focuses on invariant objects of some functional differential equations in perturbative setting. Jiaqi will be at ICERM as an institute postdoc 2021-2022 and is affiliated with the fall semester program.

Zhuolun received his Ph.D. degree at Rutgers University in 2021, under the supervision of Professor Yanyan Li. Before that, he received his Master's degree at New York University and Bachelor's degree at Sun Yat-sen University. His research interests lie in analysis and partial differential equations, with particular focus on problems arising from fluid mechanics and composite materials. His current work focuses on characterizing the gradient of solutions to the insulated conductivity problem and the regularity of incompressible stationary Navier-Stokes equation in high dimensions.