Personal Information

avner
Born: January 2, 1985 in Jerusalem, Israel
Family status: Married + 2





Contact Information

Department of Mathematics
Bar-Ilan University
Ramat-Gan, 52900
Israel

Reasearch Information


Status: Postdoctoral fellow, Bar-Ilan University
Supervisor: Dr. Eyal Kaplan

Interests: Automorphic forms, Automorphic L-functions, Rankin-Selberg integrals, New way integrals, Langlands program, representations of p-adic and Lie groups

My Advisor as a Graduate Student: Dr. Nadya Gurevich
Phd. Thesis: A Family of New-way Integrals for the Standard L-function of Cuspidal Representations of the Exceptional Group of Type G2 and Their Poles - Dissertation
Msc Thesis: Towards a New Integral Representation With No Unique Model of the Standard L-function of a Cuspidal Automorphic Representation of G2 - Thesis

Research Statement
PDF version of CV

Google scholar profile
ResearchGate profile
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My mathematical geneology

Education

Years Institue Description
2011-2016 Ben Gurion University Ph.d. in Mathematics
2009-2011 Ben Gurion University M.Sc. in Mathematics, summa cum laude, Valedictorian of the Faculty of Natural Sciences
2006-2009 Ben Gurion University B.Sc. in Mathematics, summa cum laude, Valedictorian of the Mathematics Department
2006-2010 Ben Gurion University B.Sc. in Physics

Publications

  • Rankin-Selberg Integral with Non-Unique Model For the Standard L-function of G2 (Joint with N. Gurevich) - Journal of the Institute of Mathematics of Jussieu, Volume 14, Issue 1 January 2015 , pp. 149-184, doi:10.1017/S147474801300039X
  • A Family of New-way Integrals for the Standard L-function of Cuspidal Representations of the Exceptional Group of Type G2 - International Mathematics Research Notices 2017 (7): 2014-2099, doi: 10.1093/imrn/rnw090
  • The Degenerate Eisenstein Series Attached to the Heisenberg Parabolic Subgroups of Quasi-Split Forms of D4 - Transactions of the American Mathematical Society 370 (2018), 5983-6039 , doi: 10.1090/tran/7293
  • Poles of the Standard L-function of G2 and the Rallis-Schiffmann lift (joint with N. Gurevich) - To appear in the Candian Journal of Mathematics doi: 10.4153/CJM-2018-019-7

Preprints

  • The Degenerate Residual Spectrum of Quasi-Split Forms of Spin8 Associated to the Heisenberg Parabolic Subgroup - arXiv, submitted
  • Singularities of Intertwining Operators and Principle Series Representations (joint with T. Nam and L. Silberman) - arXiv
  • The Structure of Degenerate Principal Series Representations of Exceptional Groups of Type E6 over p-adic Fields (joint with H. Halawi) - arXiv

Employment History

Years Institute Position
2018- Bar-Ilan University Postdoctoral Fellow
Supervisor: Dr. Eyal Kaplan
2018- Ben-Gurion University Instructor
2016-2018 University of British Columbia Postdoctoral Fellow
Supervisors: Prof. Julia Gordon and Prof. Lior Silberman
Instructor
2015-2016 Tel Aviv University Postdoctoral Fellow
Supervisor: Prof. David Ginzburg
2009-2015 Ben Gurion University Graduate student
Advisor: Dr. Nadya Gurevich
Teacing Assistent
2008-2009 Ben Gurion University Exercise Grader

Prizes, Scholarships and Awards

Years Institute Description
2018-2019 Bar-Ilan University Colman-Soref Scholarship for Outstanding Post-Doctoral Fellows
2015 Ben Gurion University Friedman Prize for Outstanding Doctoral Student
2012 Ben Gurion University Haim Zabey award for excellence in M.Sc. research
2011-2015 Ben Gurion University Negev Scholarship - Faran Fellowship
2008-2009 Ben Gurion University Academical excellence certificate from the Faculty of exact sciences

Talks

Year Institue Seminar/Conference Title
2011 BGU AGeNT L-functions and Their Generating Functions
2012 TAU Automorphic Forms "New Way" Integrals
2012 UofT Geometric Represenation Theory L-functions and Their Generating Functions
2013 UCPH Geometric structure in the representation theory of p-adic groups L-Groups
2015 BGU AGeNT The Standard Twisted L-Functions of Cuspidal Representations of G2 and Their Poles
2015 NUS Representation Theory and Number Theory The Standard Twisted L-Functions of Cuspidal Representations of G2 and Their Poles
2015 WIS Algebraic Geometry and Representation Theory The Standard Twisted L-Functions of Cuspidal Representations of G2 and Their Poles
2016 UBC Number Theory New Way Integrals
2017 Haifa Colloquium L-functions and the Failure of the Local-Global Principle for G2
2017 WIS Algebraic Geometry and Representation Theory L-Functions of Cuspidal Representations of G2 and Their Poles
2017 BIU Algebra Poles of the Standard L-function and Functorial Lifts for G2
2017 BGU AGeNT Poles of the Standard L-function and Functorial Lifts for G2
2017 Technion Algebra Poles of the Standard L-function and Functorial Lifts for G2
2017 HUJI NT Poles of the Standard L-function and Functorial Lifts for G2
2018 Ort Braude Colloquium L-functions and the Failure of the Local-Global Principle for G2
2018 BGU AGeNT Degenerate Principal Series of Exceptional Groups
2018 BIU Algebra Degenerate Principal Series of Exceptional Groups
2018 Technion GDRT Zeta and L-functions
2019 BIU Colloquium Zeta and L-functions
2019 WIS Algebraic Geometry and Representation Theory Degenerate Principal Series of Exceptional Groups

Students

  • Tauek Nam (2017, Undergraduate research student, joint with Lior Silberman) - Singularities of Intertwining Operators and Decompositions of Principal Series Representations

Services:

  • Referee for Manuscripta Mathematica