2012 PRIMES Conference

Second Annual PRIMES Conference, May 19-20, 2012

Saturday, May 19

Section I. Mathematics

9:00 am: Welcoming Remarks

• Prof. Michael Sipser, Head of the MIT Mathematics Department
• Prof. Pavel Etingof, PRIMES Chief Research Advisor
• Dr. Slava Gerovitch, PRIMES Program Director

9:15 am: Session 1. Discrete Mathematics I

• Christina Chen, Apollonian equilateral triangles (mentor Nan Li) ( slides )
• Rohil Prasad and Jonathan Tidor, Staged self-assembly (mentor Jesse Geneson) ( slides )
• Dai Yang, Halving lines and underlying graphs (mentor Dr. Tanya Khovanova) ( slides )

10:45 am: Session 2. Discrete Mathematics II

• Ravi Jagadeesan and Nihal Gowravaram, Beyond alternating permutations: Pattern avoidance in Young diagrams and tableaux (mentor Dr. Joel Lewis) ( slides )
• William Kuszmaul and Ziling Zhou, Equivalence classes of permutations generated by replacement sets (mentors Darij Grinberg and Sergei Bernstein) ( slides )

11:50 am: Session 3. Discrete Mathematics III

• Aaron Klein, Enumeration of graded poset structures on graphs (mentor Yan Zhang) ( slides )
• Alan Zhou, Degrees of regularity of colorings of the integers (mentor Dr. Tanya Khovanova) ( slides )

1:30 pm: Session 4. Number Theory

• Dhroova Aiylam, Modified Farey sequences (mentor Dr. Tanya Khovanova) ( slides )
• Saarik Kalia and Michael Zanger-Tishler, Schmidt games and a family of anormal numbers (mentor Tue Ly) ( slides )

2:30 pm: Session 5. Representation Theory

• Sheela Devadas, Modular representations of Cherednik algebras (mentor Steven Sam) ( slides )
• Fengning (David) Ding, Infinitesimal Cherednik algebras (mentor Sasha Tsymbaliuk) ( slides )

Sunday, May 20

Section II. Computer Science

9:00 am: Welcoming Remarks

• Prof. Srini Devadas, Department of Electrical Engineering and Computer Science
• Dr. Slava Gerovitch, PRIMES Program Director

9:15 am: Session 6. Algorithms and Complexity

• Steven Homberg and Eli Sadovnik, Improving the efficiency of fault-tolerant distributed shared-memory algorithms (mentor Dr. Peter Musial) ( slides )
• Ziv Scully, Efficient calculation of determinants of symbolic matrices with many variables (mentor Dr. Tanya Khovanova) ( slides )
• Surya Bhupatiraju, On the complexity of the marginal satisfiability problem (mentor Alex Arkhipov) ( slides )

10:35 am: Session 7. Programming Languages and Robotics

• Jesse Klimov and Patrick Long, Jeeves (mentor Jean Yang) ( slides )
• Chris Kaffine, Comparing NARF and SIFT keypoint extraction algorithms (mentor Jon Brookshire) ( slides )
• Alexander Sekula, Natural language processing for spoken dialog (mentor William Li) ( slides )

12:40 pm: Session 8. Computational Medicine

• Dr. Gil Alterovitz, Harvard-MIT Division of Health Sciences and Technology, Introductory remarks
• Andrew Xia, Integrated gene expression probabilistic models for cancer staging (mentors Dr. Gil Alterovitz and Dr. Jeremy Warner) ( slides )
• Skanda Koppula, Prediction-based Bayesian network analysis of gene sets for genome-wide association and expression studies (mentors Dr. Gil Alterovitz and Dr. Amin Zollanvari) ( slides )
• Peijin Zhang, Identifying Clostridium difficile in the ICU using Bayesian networks (mentors Dr. Gil Alterovitz and Dr. Jeremy Warner) ( slides )

Section III. Computational and Physical Biology

2:00 pm: Session 9.

• Prof. Leonid Mirny, Division of Health Sciences and Technology and Physics Department, Introductory remarks
• Hao Shen, Star polymers provide insight on Rabl-like chromosome conformations (mentors Geoffrey Fudenberg and Maxim Imakaev) ( slides )
• Ashwin Murali, Global positioning of interphase chromosomes mediated by local chromatin interactions (mentors Geoffrey Fudenberg and Maxim Imakaev) ( slides )
• Boryana Doyle and Carolyn Lu, Local structure of the chromatin fiber arbitrates 3D chromosomal interactions (mentors Geoffrey Fudenberg and Maxim Imakaev) ( slides )

Contact

With questions, contact PRIMES Program Director Slava Gerovitch at