Shamil Asgarli

I am a postdoctoral fellow in the math department at the University of British Columbia. My postdoc supervisors are Dragos Ghioca and Zinovy Reichstein.

I received my PhD from Brown University (May 2019) under the supervision of Brendan Hassett.

I am interested in algebraic geometry and arithmetic geometry, with recent foray into algebraic graph theory. Much of my work has focused on geometry over finite fields, but I am also interested in problems in characteristic 0.

Email: sasgarli@math.ubc.ca

Papers and preprints

  1. A New Proof of Warning's Second Theorem. The American Mathematical Monthly Vol. 125, No. 6 (2018), 549--553.
  2. The Picard group of the moduli of smooth complete intersections of two quadrics. (with Giovanni InchiostroTrans. Amer. Math. Soc., Vol. 372, No. 5 (2019) p. 3319--3346.
  3. Sharp Bertini theorem for plane curves over finite fields. Canadian Math. Bulletin. Vol. 62 (2), 2019 p. 223--230.
  4. Transverse lines to surfaces over finite fields. (with Lian Duan and Kuan-Wen Lai) manuscripta mathematica (165) pages 135--157 (2021)
  5. On the proportion of transverse-free plane curves. (with Brian Freidin) Finite Fields and Their Applications. Vol 72, June 2021
  6. A Bertini type theorem for pencils over finite fields. (with Dragos Ghioca) Finite Fields and Their Applications. Vol 77, Jan 2022
  7. Bijective Cremona transformations of the plane. (with Kuan-Wen Lai, Masahiro Nakahara, Susanna Zimmermann) to appear in Selecta Mathematica, New Series
  8. Transverse linear subspaces to hypersurfaces over finite fields. (with Lian Duan and Kuan-Wen Lai)
  9. Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields. (with Chi Hoi Yip)
  10. Rigidity of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes. (with Chi Hoi Yip)
  11. The EKR-module property of pseudo-Paley graphs of square order. (with Sergey Goryainov, Huiqiu Lin, and Chi Hoi Yip)
  12. Smoothness in pencils of hypersurfaces over finite fields. (with Dragos Ghioca)

Expository notes and other documents

Wedderburn's Little Theorem
Course notes on Diophantine Geometry (taught by Joe Silverman)

Teaching at UBC

Summer 2021
Math 312: Introduction to Number Theory
Spring 2021
Math 103: Integral Calculus with Applications to Life Sciences
Summer 2020
Math 316: Partial Differential Equations
Spring 2020
Math 103: Integral Calculus with Applications to Life Sciences
Fall 2019
Math 190: Calculus Survey

Past teaching

Here are some of the classes I have TA-ed or taught at Brown (as a graduate student):

Spring 2018
Math 520: Linear Algebra (Instructor)
Fall 2018
Math 50: Analytic Geometry and Calculus (Instructor)
Spring 2017
Math 90: Introductory Calculus I (Instructor)
Fall 2017
Math 90: Introductory Calculus I (TA)
Spring 2016
Math 200: Intermediate Calculus (for Physics/Engineering) (TA)
Fall 2016
Math 100: Introductory Calculus II (TA)
Fall 2015
Math 100: Introductory Calculus II (TA)

I completed the Certificate I: Reflective Teaching Program through the Sheridan Center for Teaching and Learning.