EDUCATION

• Ph.D. in Mathematics, Columbia University, NY, NY. Expected 2007. Advisor: Dorian Goldfeld.
• M.A. in Mathematics, May 2003
• M.Phil. in Mathematics, Dec 2003

• B.A. in Mathematics, Magna Cum Laude, Princeton University, Princeton, NJ June 2002. Advisor: Yakov G. Sinai
• Minors in Applied Math, Jazz and Classical Saxophone Performance.
• Senior Thesis: "Structure Theorem for the Generalized 3x+1 Problem."

PUBLICATIONS AND PREPRINTS

• “The Prime Number Theorem on the Nose” preprint.
• “Benford’s Law, Values of L-functions and the 3x+1 Problem,” with Steven J. Miller, submitted, Proceedings of CANT 2005.
• “The Sierpinski Sieve of Nim-varieties and Binomial Coefficients”, with Aviezri S. Fraenkel, accepted in Integers, special volume in honor of Ron Graham.
• “Addition Rules for Quantum Integers,” with Melvyn B. Nathanson, Journal of Number Theory, Vol 117, Issue 1, March 2006, pp. 1-13.
• “Benford’s Law, values of L-functions and the 3x+1 Problem,” Acta Arithmetica 120 (2005), 269-297, with Steven J. Miller.
• “Brownian Motion of the 3x+1 Problem”, Proceedings of the Hawaii International Conference on Statistics, 2003, with Yakov G. Sinai.
• “Structure Theorem for (d,g,h)-Maps,” Bulletin of the Brazilian Mathematical Society, New Series 33(2), 2002, pp. 213-224, with Yakov G. Sinai.
• “Red Square Dancing,” Maxim Magazine, July 2001, with Bryan Walsh.
  

SELECTED TALKS

• “The Prime Number Theorem on the Nose”, Graduate Student Seminar, Princeton University, December 2005.
• “The Prime Number Theorem on the Nose”, New York Number Theory Seminar, November 2005.
• “Benford's Law for the 3x+1 Problem and values of L-functions”, Combinatorial and Additive Number Theory Conference, May 2005.
• “Pseudorandom measures and the primes”, New York Number Theory Seminar, March 2005.
• “On the effective solution to Gauss's Class Number Problem”, Graduate Student Seminar, Columbia Univeristy, February 2005.
• “Arithmetic Progressions in dense sets”, New York Number Theory Seminar, February 2005.
• “On Tao's proof of Szemeredi's Theorem”, seminar at CUNY, November 2004.
• “Poisson Summation and Benford's Law: Applications from the 3x+1 Problem to $L$-Functions”, Colloquium at the Institute for Defense Analysis: Center for Communications Research, Princeton, NJ, October 2004.
• “The Riemann Hypothesis for a Diffusion Analogue of the Sieve of Eratosthenes”, at Probability Seminar, Columbia University, April 2004.
• “Weird and Wonderful Chemistry of Modular Audioactive Decay”, at Undergraduate Mathematics Society, Columbia University, March 2004.
• “Brownian Excursions and the Riemann Zeta Function”, at Probability Seminar, Columbia University, February 2004.
• “Geometry of Modular Nim-Sums Through Binomial Coefficients”, at Undergraduate Mathematics Society, Columbia University, November 2003.
• “Brownian Motion of the 3x+1 Problem”, at Hawaii International Conference on Statistics, Honolulu, HI, June 2003.
• “Brownian Motion of the 3x+1 Problem”, senior thesis presentation, Princeton University, Princeton, NJ, March 2002.
• “Nim Games and Sierpinski Triangles”, for advanced high school students at the Philips Exeter Academy Math Club, January 2001.
• “Non-Standard Analysis”, seminar at Weizmann Institute of Sciences, June 2000.
• “Bernoulli Numbers and Integration”, Undergraduate Math Club, Princeton University, April 2000.

CONFERENCES

• Stanford Workshop on Multiple Dirichlet Series, Stanford University, July 2006.
• CRM-Clay School/Workshop on Additive Combinatorics, University of Montreal, April 2006.
• Lie Groups, Representations and Discrete Mathematics, IAS, February 2006.
• Gaps Between Primes, American Institute of Mathematics, November-December 2005.
• Gauss - Dirichlet Conference, Gottingen, Germany, June 2005.
• Combinatorial and Additive Number Theory, in honor of Mel Nathanson's 60th birthday, CUNY, May 2005.
  
• Complex Analysis, Differential Geometry, and Partial Differential Equations, in honor of Masatake Kuranishi, Columbia University, May 2005.
  
• Princeton/Columbia Probability Conference, Princeton University, April 2005.
  
• Recent Perspectives in Random Matrix Theory and Number Theory, Newton Institute, Cambridge, UK, April 2004. Funded by AIM Fellowship.
• Arithmetic Geometry and Number Theory, in honor of Nick Katz’s 60th birthday, Princeton University, December 2003.
• Hawaii International Conference on Statistics, Honolulu, HI, June 2003.
• Function Fields and L-functions, in honor of David Hayes, University of Massachusetts, Amherst, November 2002.

TEACHING EXPERIENCE

• Instructor, Undergraduate Seminar, "Proofs from THE BOOK", Columbia University, Fall 2005.
• Instructor, Calculus II, Columbia University, Spring 2004.
• Instructor, Calculus I, Columbia University, Fall 2004.
• Instructor, Calculus I, Columbia University, Summer 2004.
• Undergraduate Research Program Supervisor, with Darren Glass, Columbia University, Summer 2004.
  • Assisted in guiding undergraduate research. Lectured on elliptic curves, modular forms, Taniyama-Shimura and the Birch and Swinnerton-Dyer conjectures.
• Teaching Assistant in Lie Groups and Representations, Multivariable Calculus, Arithmetic Number Theory, and Real Analysis, Columbia University, 2003-2006.
• Residential Advisor and Peer Educator, Butler College, Princeton University, 2000-2002.
• Faculty Saxophonist/Clarinetist at music festivals in NY, Montreal, Weimar, Furth, and Ukraine, 2004-present.
• Kung Fu Instructor, Princeton University 2000-2002, Columbia University, 2004-present.

RESEARCH EXPERIENCE

• Research Fellow, Vertically Integrated Summer Program in Computational Number Theory, The Ohio State University, summer 2004, with Steven J. Miller.
  • Helped design research program for guided undergraduate/graduate research. Lectured on subjects ranging from stochastic processes to analytic number theory.
• Researcher, NSF grant with J. F. Nash, Jr., Princeton University, Department of Mathematics, 2001-2002.
  • Developed fast numerical solver to calculate solution of new class of cooperative games.
• Researcher, NSF grant with Ya. G. Sinai, Princeton University, Department of Mathematics, 2001-2002.
  • Joint paper showing the generalized (3x+1)-Map is a geometric Brownian motion.
• Researcher, Dept of Mathematics, Weizmann Institute of Sciences, Israel with A. S. Fraenkel, 2000-2002.
  • Developed combinatorial games on directed graphs; proved a geometric and combinatorial connection between Nim Sums and binomial coefficients.
• Researcher, NSF grant with N. Chriss, Courant Institute for Mathematical Sciences, NYU, 1999-2000.
  • Implemented non-linear simplex search for proprietary equity trading; used maximum likelihood model to forecast equity values.

FELLOWSHIPS AND AWARDS

• Faculty Fellow, Columbia University, 2002-2007.
• Honorable Mention Recipient, NSF Graduate Research Fellowship, 2002, 2003, and 2004.
• Boyer Memorial Fellowship, Columbia University Mathematics Department, 2004.
• American Insitite of Mathematics Fellowship to attend Random Matrix and Number Theory conference, 2004.

SERVICE

• Organized Junior Colloquium, introducing Columbia faculty to 1st and 2nd year graduate students, 2004-2005. Speakers included: Herve Jacquet, Dorian Goldfeld, Shou-Wu Zhang, Eric Urban, John Morgan, Ioannis Karatzas, Duong Phong, Michael Thaddeus, Patrick Gallagher, Peter Ozsvath, Joan Birman, and Dave Bayer.
• Referee services for Journal of the American Math Society and Journal of Integer Sequences.

OTHER

• Languages: Russian, Hebrew.
• Member of the Graduate Board of Trustees, Princeton Tower Club, 2002-present.
  • The club has approximately 180 members and a $1.2 million annual operating budget.
• Professional jazz, classical, klezmer, ska, and reggae musician (clarinet and saxophone).
• 3rd Dan Black Belt, United States International All Styles Martial Arts Association
• Founder, Instructor, Soft Tiger Kung Fu School, Princeton University, 2000-2002.
• Founder, Instructor, Shaolin Kung Fu School, Columbia University, 2004-present.