Waqar Ali Shah

I am currently an Assistant Professor at Bilkent University. Until June 2025, I was a Visiting Assistant Professor at UC Santa Barbara.

I received my PhD at Harvard University in May 2022 under the supervision of Barry Mazur. Prior to that, I completed MMath/MASt at Trinity College, Cambridge in June 2017 and my BS in Mathematics at Lahore University of Management Sciences in May 2016.     

My CV can be found here.
Some links: arXiv,  zbMath Open,  Google Scholar,  ResearchGate 

Research Interests: 

My research is in arithmetic geometry and number theory. More specifically, I am interested in Euler systems and their connections to p-adic L-functions.  

Preprints and Publications: 

• Compact induction, norm relations and spherical varieties
  in preparation

• Euler systems for exterior square motives (with A. Cauchi and A. Graham)
  in preparation

• Euler systems for motives with Galois groups of type G2 (with A. Cauchi and J. Rodrigues Jacinto)
  in preparation  

• Euler systems for motives of Siegel modular sixfolds
  in preparation, supercedes the preprint below and contains a shorter proof of norm relations

• Horizontal norm compatibility of cohomology classes for GSp6
  (arXiv) 

• On constructing zeta elements for Shimura varieties
  submitted (arXiv)

• Explicit Hecke descent for special cycles
  Alg. Number Th. (to appear) (arXiv)

• On distribution relations of polylogarithmic Eisenstein classes
  Doc. Math. (journal) (arXiv)

• Anticyclotomic Euler systems for unitary groups (with A. Graham)
  Proc. London Math. Soc.  (journal) (arXiv)