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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.
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Announcements
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- April 15, 2008 --- Terence Tao awarded 2008 Waterman Award.
- April 15, 2008 --- Chandrashekhar Khare Awarded 2008 Guggenheim Fellowship.
- Jan 6, 2008 --- UCLA Spotlight on Craig Citro.
- Nov 25, 2007 --- Chandrashekhar Khare was awarded the 2007 Fermat Prize.
- Nov 15, 2007 --- Recent Developments in Number Theory: Selmer Groups, L-functions, and Galois Deformations is an upcoming conference to be held here at UCLA in the spring (during spring break) of 2008. The webpage is now up -- make sure to spread the word! (There is funding for grad students and young researchers to attend, so make sure to spread the word to friends at other universities, too.)
- Sep 21, 2007 --- Welcome back!
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Seminar
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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
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Spring 2008
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Organizers:
Iftikhar Burhanuddin,
Paul Jenkins
Talks will take place in MS 5128 from 4:30-5:30 unless indicated otherwise
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| Date
| Speaker & Title
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March 31
| Paul Jenkins, UCLA
Integral traces of singular values of Maass forms
Pictures
Audio
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April 07
| Leo Goldmakher, Michigan/Stanford
Pretentious characters and the Polya-Vinogradov theorem
Pictures
Audio
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April 10
| Eric Friedlander, USC
Elementary Representation Theory (Algebra Colloquium)
Pictures
Audio
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April 14
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April 16
2:00-2:50pm
MS 6221
| Kristin Lauter, Microsoft Research
Class Invariants of Quartic CM Fields
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April 17
1:50-2:50pm
MS 6943
| Terence Tao, UCLA
On the permanent of a random Bernoulli matrix
(Combinatorics Seminar)
Pictures
Audio
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April 17
4:15-5:05pm
MS 6227
| Kristin Lauter, Microsoft Research
Applications of Ramanujan graphs in Cryptography
(Number Theory Colloquium)
Audio
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April 21
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April 22
2-3pm
MS 6627
| Ngo Bao Chau, IAS / Paris 9 (Orsay)
Hitchin fibration and fundamental lemma
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April 28
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May 05
MS 6221
2-3pm
| Jim Borger, ANU / Chicago
Witt vectors, Lambda-rings, and absolute algebraic geometry
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May 05
| Wayne Raskind, USC
Totally degenerate reduction in the non-archimedean and archimedean cases
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May 12
| Shamgar Gurevich, UC Berkeley
Quadratic reciprocity and sign of Gauss sum via the finite Weil representation
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May 12-16
| John Coates, Cambridge
UCLA Math Distinguished Lecture Series
Iwasawa Theory
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May 15
3:00-3:50pm
MS 6627
| Gopal Prasad, Michigan
(Number Theory Colloquium)
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May 19
| Craig Citro, UCLA
L-invariants of p-adic L-functions
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May 26
| Memorial Day, Holiday
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June 02
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June 09
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Winter 2008
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Organizers:
Iftikhar Burhanuddin,
Paul Jenkins
Talks will take place in MS 5128 from 4:00-5:00 unless indicated otherwise
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| Date
| Speaker & Title
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| January 7
| No Seminar --- AMS Joint Mathematics Meetings
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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
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January 11
4-5pm
MS 5138
| Ravi Ramakrishna,
Cornell
Ranks for new parts of Hecke algebras
Pictures
Audio
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| January 14
| Gordan Savin,
Utah
Langlands lift from G_2 to PGSp(6)
Pictures
Audio
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| January 21
| No Seminar --- MLK Jr. Day
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| January 28
| Michelle Manes,
USC
Uniform Boundedness Conjectures and Theorems for Dynamical Systems
Pictures
Audio
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February 7 Lakretz 101 3-4pm
| Alex Ghitza, Colby College
Computing Hecke eigensystems (mod p)
Pictures
Audio
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February 7 MS 6627 4:15-5:05pm
| Kiran Kedlaya, MIT
Effective Bounds for Solutions of p-adic Differential Equations
Pictures
Audio
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| February 11
| Dimitar Jetchev,
UCB
Global Divisibility of Heegner Points and Tamagawa Numbers
Pictures
Audio
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| February 18
| No Seminar --- Presidents Day
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| February 25
| Jesse Elliott, CSU Channel Islands
Rings of Integer-Valued Polynomials
Slides
Audio part 1
Audio part 2
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February 29 4:30-5:30pm MS 5137
| Jayce Getz, Princeton
The relative trace formula with a view towards simple Shimura varieties
Pictures
Audio
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| March 3
| Nir Avni,
Hebrew University / UCLA
Representation Growth of Arithmetic Groups
Pictures
Audio
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| March 10
| Jim Brown,
Caltech
Saito-Kurokawa lifts and lower bounds on Selmer groups
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March 12 4:30-5:30pm MS 5137
| Paul-Olivier Dehaye,
Oxford
New approaches to Random Matrix Theory problems motivated by Number Theory
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March 17 MS 5118
| Lin Weng,
Kyushu university
Weyl Symmetry and the Riemann Hypothesis
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Fall 2007
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Organizers:
Iftikhar Burhanuddin,
Paul Jenkins
Talks will take place in MS 6627 from 4:30-5:30 unless indicated otherwise
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| Date
| Speaker & Title
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| October 1
| No seminar
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| October 8
| Iftikhar Burhanuddin,
UCLA
Some computational problems motivated by the Birch and
Swinnerton-Dyer conjecture
Slides
Audio
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| October 15
| Rizwanur Khan,
UCLA
Non-vanishing of the
central value of the symmetric square L-function
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| October 22
| Jared Weinstein,
UCLA
Local Langlands and the stable reduction of modular curves
Pictures
Audio
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| October 29
| Lenny Fukshansky,
Claremont McKenna
Effective
theorems for quadratic spaces via height
Pictures
Audio
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October 31
4:00-4:50pm
MS 5128
| Haruzo Hida,
UCLA
Igusa Varieties I
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| November 5
| Mirela Çiperiani,
Columbia University
Tate-Shafarevich groups over anticyclotomic Z_p extensions at
supersingular primes
Pictures
Audio
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November 7
1:00-1:50pm
MS 5128
| Haruzo Hida,
UCLA
Igusa Varieties II
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November 7
4:00-4:50pm
MS 5128
| Gebhard Böckle,
IEM, Essen
Drinfeld modular forms and Hecke characters
Pictures
Audio
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| November 12
| No seminar --- Veterans Day
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November 14
4:00-4:50pm
MS 5128
| Haruzo Hida,
UCLA
Igusa Varieties III
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| November 19
| Igor Shparlinski,
Macquarie University
Lang-Trotter and Sato-Tate conjectures on average
Pictures
Audio
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| November 26
| Ahmad El-Guindy, Texas
A&M University
Fourier Expansions with Modular Form Coefficients
Pictures
Audio
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November 28
4:00-4:50pm
MS 5128
| Haruzo Hida,
UCLA
Igusa Varieties IV
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| December 3
| John Leo, UCLA
Fourier Coefficients of Triangle Functions
Pictures
Audio
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December 5
4:00-4:50pm
MS 5128
| Katherine Stange,
Brown University
Elliptic Nets
Pictures
Audio
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Pictures of talks presented using William Stein's gallery
software
Past seminars
People
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Senior Faculty
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Junior Faculty
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Affiliated Faculty
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Graduate Students
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Courses
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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.
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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
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Past courses
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Events
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Upcoming Conferences
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- SAGE Days 5: Computational Arithmetic Geometry,
September 30-October 3, 2007, Clay Institute, Cambridge
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Southern California Number Theory Day, October 27, 2007, Irvine
- SAGE Days 6: Cryptography,
November 10-14, 2007, Heilbronn Institute, Bristol
- West Coast Number Theory Conference
December 16-20, 2007, Monterey
- Special
Session on Automorphic Forms and Related Topics
January 6, 2008, San Diego
- Special
Session on Low Genus Curves and Applications
January 7-8, 2008, San Diego
- Special
Session on Modular Forms and Modularity
January 7-8, 2008, San Diego
- SAGE Days 7: Combinatorics,
February 5-9, 2008, UCLA
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Expanders in Pure and Applied Mathematics,
February 11 - 15, 2008, UCLA
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Partitions, q-series and Modular Forms Workshop and Conference
March 8-16, 2008, Gainesville
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Automorphic Forms Workshop
March 8-11, 2008, Texas A&M
- Arizona Winter School
March 15-19, 2008, Tuscon
- Recent Developments in Number Theory: Selmer Groups, L-functions, and Galois Deformations
March 24-29, 2008, Los Angeles
- Eighth Algorithmic Number Theory Symposium ANTS-VIII
May 17-22, 2008, Banff
- Canadian
Number Theory Association X
July 13-18, 2008, Waterloo
Conferences
in Arithmetic Geometry (Kiran Kedlaya)
Number theory conferences, old and new
(Keith Matthews)
Conferences in
Algebraic Geometry (Ravi Vakil)
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Local Area Seminars
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Links
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Website design by
Craig Citro
Maintained by Iftikhar Burhanuddin
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