Sailun Zhan

I was a visiting assistant professor in the Department of Mathematical Sciences at Binghamton University. My mentors are Alexander Borisov and Adrian Vasiu.

I obtained my Ph.D. from the Department of Mathematics at Indiana University Bloomington. My advisor is Michael Larsen.

My mathematical research is at the confluence of algebraic geometry, number theory, and representation theory. Most of my research is related to rational curves on projective varieties. I am also interested in Hilbert schemes of points and p-adic/motivic methods. 

This is my CV.

Email: zhans (at) binghamton (dot) edu

Publications and Preprints

[6] Kishore, Krishna; Vasiu, Adrian; Zhan, Sailun:  Waring Problem for Matrices over Finite Fields. J. Pure Appl. Algebra 228(7) (2024), 107656. JPAA. Final version.

[5] Zhan, Sailun: Punctual Hilbert schemes of points of A^3 in the Grothendieck group of varieties.  arXiv:2208.02419, 2022.

[4] Zhan, Sailun: Hilbert schemes of points on smooth projective surfaces and generalized Kummer varieties with finite group actions. Arkiv för Matematik 61(2) (2023), 475-493. Arkiv.

[3] Im, Bo-Hae; Larsen, Michael; Zhan, Sailun: A hyperelliptic curve mapping to specified elliptic curves. Israel J. Math. Vol. 257 (2023), 409-431. IJM.

[2] Zhan, Sailun: Monodromy of rational curves on K3 surfaces of low genus. J. Pure Appl. Algebra 226(8) (2022), 107021. JPAA.  Final version. 

[1] Zhan, Sailun: Counting rational curves on K3 surfaces with finite group actions. Int. Math. Res. Not. IMRN 2022(10) (2021), 7516-7549. IMRN. Final version.

Talks

(September 12, 2023) Waring problem for matrices over finite fields, Arithmetic seminar, Binghamton University, New York

(February 7, 2023) Punctual Hilbert schemes of points of affine spaces in the Grothendieck group of varieties, Arithmetic seminar, Binghamton University, New York

(September 13, 2022) P-adic integration and motivic integration, Arithmetic seminar, Binghamton University, New York

(March 22, 2022) McKay graphs of the finite subgroups of SL(2,C), Algebra seminar, Binghamton University, New York.

(February 8, 2022) Monodromy of rational curves on K3 surfaces of low genus, Arithmetic seminar, Binghamton University, New York.

(December 15, 2021) Counting G-rational curves on K3/abelian surfaces with finite group actions, Number Theory seminar (online via Zoom), KAIST, South Korea.

(October 12, 2021) Hilbert schemes of points of algebraic surfaces, Algebra seminar, Binghamton University, New York.

(September 14, 2021) Counting rational curves on K3 surfaces with finite group actions, Arithmetic seminar, Binghamton University, New York.

(October 12, 2020) Counting rational curves on K3 surfaces with finite group actions, Algebra seminar, Indiana University Bloomington, Indiana.

Teaching

Fall 2023, M330 Number Systems, Binghamton University. Instructor.

Spring 2023, M504 Algebra II, Binghamton University. Instructor.

Spring 2023, M407/574 Introduction to the Theory of Numbers, Binghamton University. Instructor.

Fall 2022, M130 Mathematics in Action, Binghamton University. Instructor.

Spring 2022, M504 Algebra II, Binghamton University. Instructor.

Spring 2022, M407/574 Introduction to the Theory of Numbers, Binghamton University. Instructor.

Fall 2021, M226 Integration Techniques and Applications/ M227 Infinite Series, Binghamton University. Instructor.

Fall 2020, M018 Basic Algebra for Finite Math, Indiana University Bloomington. Instructor.

Spring 2020, D117 Introduction to Finite Math II, Indiana University Bloomington. Instructor.

Fall 2019, M014 Basic Algebra, Indiana University Bloomington. Instructor.

Spring 2019, M212 Calculus II, Indiana University Bloomington. Teaching assistant in charge of recitations.

Fall 2018, S311 Honors Course in Calculus III, Indiana University Bloomington. Teaching assistant in charge of recitations.

Spring 2018, M211 Calculus I, Indiana University Bloomington. Teaching assistant in charge of recitations.