Modern Math Workshop 2013
(October 2  3, 2013, preceding SACNAS in San Antonio, Texas)
 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 preconference 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 reinvigorate the focus of mathematics students and faculty at minorityserving institutions and the research careers of minority mathematicians.
Keynote Speaker
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.
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 SFSUColombia 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.
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 Nonnegative 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  Changepoint detection for nonstationary highdimensional timeseries with missing data ICERM: Rebecca Willett, University of WisconsinMadison 

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 23), 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.
Wednesday  October 2, 2013  

Time  Title  Speaker  Location 
12:00  1:00  Registration  Room 212  
1:00  1:25  The mathematics of materials  IAS: Charles Radin, University of Texas, Austin  Room 213 
1:30  1:55  Conceptual Climate Models: Energy Balance, Feedback Elements, and Tipping Points  IMA: Anna Barry, IMA Postdoc, University of Minnesota  Room 213 
2:00  2:25  Modeling the immune response of cattle suffering from Johne's Disease  NIMBioS: Gesham Magombedze, NIMBioS Postdoc, University of Tennessee  Room 213 
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  Room 213 
3:15  3:40  Applications of Nonnegative Matrix Factorization in Statistics  SAMSI: Kenny Lopiano, SAMSI postdoc  Room 213 
3:45  4:10  Break  Room 212  
4:15  5:00  Keynote Lecture: Tutte polynomials in combinatorics and geometry  Federico Ardila, San Franciso State University  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  Title  Speaker  Location 
9:00  9:25  Convection, Stability, and Turbulence  IPAM: Charlie Doering, University of Michigan  Room 213 
9:30  9:55  Changepoint detection for nonstationary highdimensional timeseries with missing data  ICERM: Rebecca Willett, University of WisconsinMadison  Room 213 
10:00  10:25  Shimura varieties, Galois representation and Automorphic forms  MSRI: Elena Mantovan, Caltech  Room 213 
10:30  10:55  Break  Room 212  
11:00  12:00  Information Session with funding agency representatives  Room 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.
 MiniCourse 1: "A Tour of Dynamical Systems"
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 minicourse 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.
 MiniCourse 2: "A Survey of Diophantine Equations"
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 socalled 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.
Wednesday  October 2, 2013  

Time  Title  Speaker  Location 
12:00  1:00  Registration  Room 212  
1:00  2:25  Mini 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  2:40  Break  Room 212  
2:45  3:40  Mini Course 1: A Tour of Dynamical Systems Mini Course 2: A Survey of Diophantine Equations  Room 210A Room 210B  
3:45  4:10  Break  Room 212  
4:15  5:00  Keynote Lecture: Tutte polynomials in combinatorics and geometry  Federico Ardila, San Franciso State University  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  Title  Speaker  Location 
9:00  9:25  Convection, Stability, and Turbulence  IPAM: Charlie Doering, University of Michigan  Room 213 
9:30  9:55  Changepoint detection for nonstationary highdimensional timeseries with missing data 
ICERM: Rebecca Willett, University of WisconsinMadison  Room 213 
10:00  10:25  Shimura varieties, Galois representation and Automorphic forms  MSRI: Elena Mantovan, Caltech  Room 213 
10:30  10:55  Break  Room 212  
11:00  12:00  Information Session with funding agency representatives  Room 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)