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Modern Math Workshop 2013
(October 2 - 3, 2013, preceding SACNAS in San Antonio, Texas)


Organizing Committee
  • Jeff Brock
    (ICERM)
  • Ricardo Cortez
    (Tulane University)
  • Ruth Crane
    (ICERM)
  • Snehalata Huzurbazar
    (SAMSI, Statistical and Applied Mathematical Sciences Institute)
  • Jill Pipher
    (ICERM)
  • Ivelisse Rubio
    (University of Puerto Rico, Computer Science)

Location:
200 East Market Street
Henry B. Gonzalez
Convention Center
San Antonio, TX 78205
United States


As part of the Mathematical Sciences Collaborative Diversity Initiatives, nine mathematics institutes (including ICERM) are pleased to host their annual pre-conference event, the 2013 Modern Math Workshop. This event precedes the SACNAS National Conference. If you are also attending the SACNAS National Conference then you must also register separately with SACNAS online.

The Modern Math Workshop is intended to re-invigorate the focus of mathematics students and faculty at minority-serving institutions and the research careers of minority mathematicians.


Tutte polynomials in combinatorics and geometry

The Tutte polynomial is a combinatorial polynomial that one associates to a set of vectors V. This polynomial knows an incredible amount about the geometric, algebraic, and combinatorial properties of V. I will define this polynomial and illustrate a few of its properties. This talk will be accesible to undergraduate students, and will require no previous knowledge of the topic.

Federico Ardila
Bio:

Federico Ardila is an Associate Professor of Mathematics at San Francisco State University. He studies objects in algebra, geometry, topology and applications by understanding their underlying discrete structure. He leads the SFSU-Colombia Combinatorics Initiative, a research and learning collaboration between students and researchers in the United States and Colombia. When he is not at work, you might find him on the fútbol field or treasure hunting in little record stores.




*Schedule subject to change

Wednesday, October 2, 2013
Time Graduate Students and PhD's
(all talks located in Room 213 unless otherwise noted)
Undergraduate Sessions
(all talks are labeled with room assignments)
12:00 - 1:00 Registration & Lunch
Room 212
1:00 - 1:25
The mathematics of materials
IAS: Charles Radin, University of Texas Austin
Concurrent Sessions
(undergraduates choose one)

Mini Course 1: A Tour of Dynamical Systems
Araceli Bonifant, University of Rhode Island
Room: 210A

Mini Course 2: A Survey of Diophantine Equations
Edray Goins, Purdue University
Room 210B
1:30 - 1:55 Conceptual Climate Models: Energy Balance,
Feedback Elements, and Tipping Points

IMA: Anna Barry, IMA Postdoc, University of Minnesota
2:00 - 2:25 Modeling the immune response of
Cattle suffering from Johne's Disease

NIMBioS: Gesham Magombedze, NIMBioS Postdoc, University of Tennessee
2:30 - 2:40 Break
Room 212
2:45 - 3:10 Neural mechanisms underlying limb
coordination in crayfish swimming

MBI: Lucy Spardy, MBI postdoc, The Ohio State University
Concurrent Sessions Continued
(undergraduates choose one)

Mini Course 1: A Tour of Dynamical Systems
Araceli Bonifant, University of Rhode Island
Room: 210A

Mini Course 2: A Survey of Diophantine Equations
Edray Goins, Purdue University
Room 210B
3:15- 3:40 Applications of Non-negative Matrix Factorization in Statistics
SAMSI: Kenny Lopiano, SAMSI postdoc
3:45 - 4:10 Break
Room 212
4:15 - 5:00
Keynote Lecture: Tutte polynomials in Combinatorics and geometry, Federico Ardila
Room 213
5:15 - 6:25 Math Institutes Panel
Room 213
6:30 - 8:00 Math Institutes Reception
Room 212

Thursday, October 3, 2013
Time All Participants
(All sessions in Room 213 unless otherwise noted)
9:00 - 9:25 Convection, Stability, and Turbulence
IPAM: Charlie Doering, University of Michigan
9:30 - 9:55 Change-point detection for non-stationary high-dimensional timeseries with missing data
ICERM: Rebecca Willett, University of Wisconsin-Madison
10:00 - 10:25 Shimura varieties, Galois representation and Automorphic forms
MSRI: Elena Mantovan, Caltech
10:30 - 10:55 Break
Room 212
11:00 - 12:00 Information Session with Funding Agencies

If you are also attending the SACNAS National Conference then you must also register separately with SACNAS online.

For further information, please contact one of ICERM's admistrative staff; Lauren Barrows, or Ruth Crane.



On both Days 1 & 2 (October 2-3), a series of eight talks geared towards early career researchers will be given on exciting and current research topics associated with the hosting institutes' upcoming programs. Each of the hosting institutes selected these speakers to represent them at the Modern Math Workshop.

*Schedule subject to change

Wednesday October 2, 2013
Time Title Speaker Location
12:00 - 1:00RegistrationRoom 212
1:00 - 1:25The mathematics of materialsIAS: Charles Radin, University of Texas, AustinRoom 213
1:30 - 1:55Conceptual Climate Models: Energy Balance, Feedback Elements, and Tipping PointsIMA: Anna Barry, IMA Postdoc, University of MinnesotaRoom 213
2:00 - 2:25Modeling the immune response of cattle suffering from Johne's DiseaseNIMBioS: Gesham Magombedze, NIMBioS Postdoc, University of TennesseeRoom 213
2:30 - 2:40BreakRoom 212
2:45 - 3:10Neural mechanisms underlying limb coordination in crayfish swimmingMBI: Lucy Spardy, MBI Postdoc, The Ohio State UniversityRoom 213
3:15 - 3:40Applications of Non-negative Matrix Factorization in Statistics SAMSI: Kenny Lopiano, SAMSI postdocRoom 213
3:45 - 4:10BreakRoom 212
4:15 - 5:00Keynote Lecture: Tutte polynomials in combinatorics and geometryFederico Ardila, San Franciso State UniversityRoom 213
5:15 - 6:25Math Institutes PanelRoom 213
6:30 - 8:00Math Institutes ReceptionRoom 212

ThursdayOctober 3, 2013
TimeTitleSpeakerLocation
9:00 - 9:25Convection, Stability, and TurbulenceIPAM: Charlie Doering, University of MichiganRoom 213
9:30 - 9:55Change-point detection for non-stationary high-dimensional timeseries with missing data ICERM: Rebecca Willett, University of Wisconsin-MadisonRoom 213
10:00 - 10:25Shimura varieties, Galois representation and Automorphic formsMSRI: Elena Mantovan, CaltechRoom 213
10:30 - 10:55BreakRoom 212
11:00 - 12:00 Information Session with funding agency representativesRoom 213

On Day 1 (October 2), two minicourses geared towards an underundergraduate audience will run concurrently during the Modern Math Workshop. Underundergraduate applicants will select their minicouse of choice when they register.

  • Mini-Course 1: "A Tour of Dynamical Systems"
    bonifant.jpg
    Araceli Bonifant
    , University of Rhode Island

    Dynamical Systems is the part of mathematics which studies the changes that occur as a system evolves over time. Some systems are easy to predict whereas others are not. Such difficult to predict systems are known as "chaotic systems" (for example, the stock market or the weather). It is a surprizing fact that very simple transformations can give rise to very complex (and beautiful !) behavior. In this mini-course we will start by describing the dynamics under iteration of a simple family of maps (real quadratic polynomials) and we will work our way through to the study of the dynamics of quadratic complex polynomials. We will tour the parameter space of complex quadratic polynomials, known as the Mandelbrot set, and will describe the Fatou and Julia sets for some parameters.


  • Mini-Course 2: "A Survey of Diophantine Equations"
    edray.jpg
    Edray H. Goins
    , Purdue University

    There are many beautiful identities involving positive integers. For example, Pythagoras knew 3^2 + 4^2 = 5^2 while Plato knew 3^3 + 4^3 + 5^3 = 6^3. Euler discovered 59^4 + 158^4 = 133^4 + 134^4, and even a famous story involving G. H. Hardy and Srinivasa Ramanujan involves 1^3 + 12^3 = 9^3 + 10^3. But how does one find such identities? Around the third century, the Greek mathematician Diophantus of Alexandria introduced a systematic study of integer solutions to polynomial equations. In this session, we'll focus on various types of so-called Diophantine Equations, discussing such topics as the Postage Stamp Problem, Pythagorean Triples, Pell's Equations, Elliptic Curves, the ABC Conjecture and Fermat's Last Theorem.

*Schedule subject to change

Wednesday October 2, 2013
Time Title Speaker Location
12:00 - 1:00RegistrationRoom 212
1:00 - 2:25Mini Course 1: A Tour of Dynamical Systems
Mini Course 2: A Survey of Diophantine Equations
Mini Course Speaker 1: Araceli Bonifant, University of Rhode Island
Mini Course Speaker 2: Edray H. Goins, Purdue University
Room 210A
Room 210B
2:30 - 2:40BreakRoom 212
2:45 - 3:40Mini Course 1: A Tour of Dynamical Systems
Mini Course 2: A Survey of Diophantine Equations
Room 210A
Room 210B
3:45 - 4:10BreakRoom 212
4:15 - 5:00Keynote Lecture: Tutte polynomials in combinatorics and geometryFederico Ardila, San Franciso State UniversityRoom 213
5:15 - 6:25Math Institutes PanelRoom 213
6:30 - 8:00Math Institutes ReceptionRoom 212

ThursdayOctober 3, 2013
TimeTitleSpeakerLocation
9:00 - 9:25Convection, Stability, and TurbulenceIPAM: Charlie Doering, University of MichiganRoom 213
9:30 - 9:55 Change-point detection for
non-stationary high-dimensional timeseries with missing data
ICERM: Rebecca Willett, University of Wisconsin-MadisonRoom 213
10:00 - 10:25Shimura varieties, Galois representation and Automorphic formsMSRI: Elena Mantovan, CaltechRoom 213
10:30 - 10:55BreakRoom 212
11:00 - 12:00Information Session with funding agency representativesRoom 213


  Hosting Mathematics Institutions:

  • AIM (American Institute of Mathematics)
  • IAS (Institute for Advanced Study)
  • ICERM (Institute for Computational and Experimental Research in Mathematics)
  • IMA (Institute for Mathematics and its Applications)
  • IPAM (Institute for Pure and Applied Mathematics)
  • MBI (Mathematical Biosciences Institute)
  • MSRI (Mathematical Sciences Research Institute)
  • NIMBioS (National Institute for Mathematical and Biological Synthesis)
  • SAMSI (Statistical and Applied Mathematical Sciences Institute)