For Fall 2022, the Number Theory Seminar is running on Wednesdays from 2:00PM to 3:30PM.
Number theorists study properties of the integers, as well as related generating functions (analytic number theory), arithmetic in generalizations of the integers (algebraic number theory), the distribution of rational and algebraic numbers within the reals (Diophantine approximation), and countless other topics.
At UBC, the Number Theory group works on sieve methods and the distribution of primes, Diophantine problems, special values of L-functions, arithmetic dynamics, representations of p-adic groups, non-commutative Iwasawa theory and automorphic forms.
For prospective students
Number theory is an ancient area of mathematical research. Many problems in number theory are so accessible that they can be easily stated to undergraduates, yet so deep that they have withstood attempts to prove them for centuries or even millennia. Number theory has close connections with many other areas such as algebraic geometry, combinatorics, cryptography and coding theory, harmonic analysis, probability, complex analysis, and representation theory. All these connections are explored in the various courses in number theory that we offer each year.
|Dragos Ghioca||Arithmetic geometry and algebraic dynamics.|
|Julia Gordon||Harmonic analysis on p-adic groups, motivic integration.|
|Rachel Ollivier||Representation theory of p-adic groups and Hecke algebras, mod p and p-adic Langlands program.|
|Jozsef Solymosi||Combinatorics, Graph Theory, Discrete Geometry, and Combinatorial Number Theory.|
|Vinayak Vatsal||Special values of L-functions; modular forms; Iwasawa theory.|
|Nahid Walji||Math. Ed.: Second and third year mathematical experiences, outreach. Num.Th.: elliptic curves, automorphic L-functions.|
|Graduate Students||Research Interests|
|Prajeet Bajpai||Diophantine equations|
|Shubhrajit Bhattacharya||Iwasawa Theory, Galois Representations, Automorphic Forms and the Langlands Program|
|Parham Hamidi||Iwasawa theory|
|Sina Saleh||Arithmetic geometry and algebraic dynamics|
|Chi Hoi (Kyle) Yip||Additive combinatorics and analytic number theory|