UCLA Number Theory Group

Announcements Seminar People Courses Events Links


UCLA has a well-established research group in Number Theory. The group is led by 5 core faculty members, and currently has 5 post-doctoral members. Numerous graduate students, at all stages of their education, actively participate in the courses and seminars of the group. Additionally, a number of UCLA faculty members specialize in closely affiliated areas, such as K-theory, quadratic forms, additive combinatorics, and cryptography.




Announcements



Back to top







Seminar



Back to top

If you would like to be informed via email about upcoming number theory related events at UCLA or if you would like to give a talk, contact Iftikhar Burhanuddin or Paul Jenkins

Spring 2008

Organizers: Iftikhar Burhanuddin, Paul Jenkins
Talks will take place in MS 5128 from 4:30-5:30 unless indicated otherwise
Date Speaker & Title
March 31
Paul Jenkins, UCLA
Integral traces of singular values of Maass forms
Pictures Audio
April 07
Leo Goldmakher, Michigan/Stanford
Pretentious characters and the Polya-Vinogradov theorem
Pictures Audio
April 10
Eric Friedlander, USC
Elementary Representation Theory (Algebra Colloquium)
Pictures Audio
April 14


April 16
2:00-2:50pm
MS 6221
Kristin Lauter, Microsoft Research
Class Invariants of Quartic CM Fields
April 17
1:50-2:50pm
MS 6943
Terence Tao, UCLA
On the permanent of a random Bernoulli matrix (Combinatorics Seminar)
Pictures Audio
April 17
4:15-5:05pm
MS 6227
Kristin Lauter, Microsoft Research
Applications of Ramanujan graphs in Cryptography (Number Theory Colloquium)
Audio
April 21


April 22
2-3pm
MS 6627
Ngo Bao Chau, IAS / Paris 9 (Orsay)
Hitchin fibration and fundamental lemma
April 28


May 05
MS 6221
2-3pm
Jim Borger, ANU / Chicago
Witt vectors, Lambda-rings, and absolute algebraic geometry
May 05
Wayne Raskind, USC
Totally degenerate reduction in the non-archimedean and archimedean cases
May 12
Shamgar Gurevich, UC Berkeley
Quadratic reciprocity and sign of Gauss sum via the finite Weil representation
May 12-16
John Coates, Cambridge
UCLA Math Distinguished Lecture Series
Iwasawa Theory
May 15
3:00-3:50pm
MS 6627
Gopal Prasad, Michigan
(Number Theory Colloquium)
May 19
Craig Citro, UCLA
L-invariants of p-adic L-functions
May 26
Memorial Day, Holiday
June 02


June 09






Winter 2008

Organizers: Iftikhar Burhanuddin, Paul Jenkins
Talks will take place in MS 5128 from 4:00-5:00 unless indicated otherwise
Date Speaker & Title
January 7 No Seminar --- AMS Joint Mathematics Meetings




January 9
2-3pm
MS 6627

January 10
2-3pm
MS 6221

January 11
2-3pm
MS 6627
Avi Wigderson, IAS --- UCLA Math Distinguished Lecture Series
Some topics in computational complexity
Abstract


Lecture 1: The power and weakness of randomness in computation
Pictures Audio Audio Q&A Tao's Notes


Lecture 2: Expander Graphs -- Constructions and Applications
Pictures Audio Audio Q&A Tao's Notes


Lecture 3: Algebraic computation
Pictures Audio Tao's Notes
January 11
4-5pm
MS 5138
Ravi Ramakrishna, Cornell
Ranks for new parts of Hecke algebras
Pictures Audio
January 14 Gordan Savin, Utah
Langlands lift from G_2 to PGSp(6)
Pictures Audio
January 21 No Seminar --- MLK Jr. Day
January 28 Michelle Manes, USC
Uniform Boundedness Conjectures and Theorems for Dynamical Systems
Pictures Audio
February 7
Lakretz 101
3-4pm
Alex Ghitza, Colby College
Computing Hecke eigensystems (mod p)
Pictures Audio
February 7
MS 6627
4:15-5:05pm
Kiran Kedlaya, MIT
Effective Bounds for Solutions of p-adic Differential Equations
Pictures Audio
February 11 Dimitar Jetchev, UCB
Global Divisibility of Heegner Points and Tamagawa Numbers
Pictures Audio
February 18 No Seminar --- Presidents Day
February 25 Jesse Elliott, CSU Channel Islands
Rings of Integer-Valued Polynomials
Slides Audio part 1 Audio part 2
February 29
4:30-5:30pm
MS 5137
Jayce Getz, Princeton
The relative trace formula with a view towards simple Shimura varieties
Pictures Audio
March 3 Nir Avni, Hebrew University / UCLA
Representation Growth of Arithmetic Groups
Pictures Audio
March 10 Jim Brown, Caltech
Saito-Kurokawa lifts and lower bounds on Selmer groups
March 12
4:30-5:30pm
MS 5137
Paul-Olivier Dehaye, Oxford
New approaches to Random Matrix Theory problems motivated by Number Theory
March 17
MS 5118
Lin Weng, Kyushu university
Weyl Symmetry and the Riemann Hypothesis



Fall 2007

Organizers: Iftikhar Burhanuddin, Paul Jenkins
Talks will take place in MS 6627 from 4:30-5:30 unless indicated otherwise
Date Speaker & Title
October 1 No seminar

October 8 Iftikhar Burhanuddin, UCLA
Some computational problems motivated by the Birch and Swinnerton-Dyer conjecture
Slides Audio
October 15 Rizwanur Khan, UCLA
Non-vanishing of the central value of the symmetric square L-function
October 22 Jared Weinstein, UCLA
Local Langlands and the stable reduction of modular curves
Pictures Audio
October 29 Lenny Fukshansky, Claremont McKenna
Effective theorems for quadratic spaces via height
Pictures Audio
October 31
4:00-4:50pm
MS 5128
Haruzo Hida, UCLA
Igusa Varieties I
November 5 Mirela Çiperiani, Columbia University
Tate-Shafarevich groups over anticyclotomic Z_p extensions at supersingular primes
Pictures Audio
November 7
1:00-1:50pm
MS 5128
Haruzo Hida, UCLA
Igusa Varieties II
November 7
4:00-4:50pm
MS 5128
Gebhard Böckle, IEM, Essen
Drinfeld modular forms and Hecke characters
Pictures Audio
November 12 No seminar --- Veterans Day

November 14
4:00-4:50pm
MS 5128
Haruzo Hida, UCLA
Igusa Varieties III
November 19 Igor Shparlinski, Macquarie University
Lang-Trotter and Sato-Tate conjectures on average
Pictures Audio
November 26 Ahmad El-Guindy, Texas A&M University
Fourier Expansions with Modular Form Coefficients
Pictures Audio
November 28
4:00-4:50pm
MS 5128
Haruzo Hida, UCLA
Igusa Varieties IV
December 3 John Leo, UCLA
Fourier Coefficients of Triangle Functions
Pictures Audio
December 5 4:00-4:50pm
MS 5128
Katherine Stange, Brown University
Elliptic Nets
Pictures Audio

Pictures of talks presented using William Stein's gallery software

Past seminars




People



Back to top


Senior Faculty



Don Blasius


William Duke


Haruzo Hida


Chandrashekhar Khare


Jonathan Rogawski


Junior Faculty



Iftikhar Burhanuddin


Paul Jenkins


Rizwanur Khan


Keith Ouellette


Jared Weinstein


Affiliated Faculty



Richard Elman


Alexander Merkurjev


Rafail Ostrovsky


Amit Sahai


Terence Tao


Veeravalli S. Varadarajan


Graduate Students



Miljan Brakocevic


Paul Bunn


Jack Buttcane


Lin Chen


Craig Citro


Will Conley


Brett Hemenway


Michael Hofmann


Matt Lane


John Leo


Wenjian Liu


Steve Lu


Romanos Malikiosis


Curtis Paul





Courses



Back to top

Graduate study in number theory at UCLA is based on lecture courses, faculty-led student seminars, and individual study. The core lecture courses include algebraic number theory, automorphic forms and L-functions, analytic number theory, arithmetic geometry, representation theory, and applied number theory. Graduate seminars cover focused topics such as elliptic curves, class field theory, Taylor-Wiles deformation theory, p-adic modular forms (esp. Hida theory), analytic theory of L-functions, computational number theory (with SAGE, Pari-GP, etc.), special values of L-functions, the Selberg trace formula, and other topics. Often, these seminars are student-run with faculty supervision.



Fall 2007:



Winter 2008:

  • NTG Seminar (Burhanuddin---Jenkins)
    M 4:00-5:00 Venue: MS 5128

  • Math 205B Number Theory (Khare)

  • Math 290B Seminar: Current Literature in Number Theory (Duke, Ouellette)

  • Math 296B Participating Seminar: Number Theory (Weinstein)


Spring 2008:

  • Math 207C: Topics in Number Theory (Blasius)
    MW 3:00-4:15

  • NTG Seminar (Burhanuddin---Jenkins)
    M 4:30-5:30 Venue: MS 5128


Past courses




Events



Back to top


Upcoming Conferences





Conferences in Arithmetic Geometry (Kiran Kedlaya)
Number theory conferences, old and new (Keith Matthews)
Conferences in Algebraic Geometry (Ravi Vakil)



Local Area Seminars





Links



Back to top

Website design by Craig Citro
Maintained by Iftikhar Burhanuddin