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Dr. Dani Szpruch, Senior Lecturer

Dani Szpruch
Contact Info

The Open University of Israel Department of Mathematics and Computer Science 1 University Road P.O.B. 808 Ra’anana 4353701, Israel
Office:972-9-7783327 Email:dszpruch@openu.ac.il

Additional Information

Areas of Interest
  • Automorphic forms and representation theory of p-adic groups
  • L- functions

I am a Senior Lecturer  at the Department of Mathematics and Computer Science, The Open University of Israel.

I work in the field of Automorphic Forms and Representations of p-adic groups.

PhD. in Mathematics, Tel Aviv University, under the supervision of Professor David Soudry. Thesis title: The Langlands-Shahidi method for the metaplectic group and some applications.
M.Sc in Mathematics, Tel Aviv University, under the supervision of Professor David Soudry. Thesis title: On a functional equation for generic representations of SO(2n,F) where F is a non Archimedean local field.
1997 - 2001
Graduate Studies at the Adi Lautman Interdisciplinary Program for outstanding students, Tel Aviv University.

2018 -  Senior Lecturer, The Open University of Israel

2015 - 2017    Howard University, Washington, DC, USA. Assistant Professor

2014 - 2015    Indiana University, Bloomington, USA. Visiting Assistant Professor 

2011 - 2014    Purdue University, USA: Golomb. Visiting Assistant Professor of Mathematics  

2009 - 2011    Ben-Gurion University, Israel. Postdoctoral fellow and Teaching Associate

1999 - 2009   Tel Aviv University, Israel. Teaching Assistant, Instructor, Guest Lecturer                         
2001 - 2009   The Academic College of Tel Aviv-Yafo, Israel. Teaching Associate

2020    A member of The 27th Amitsur Memorial Symposium Organizing committee.

All my publications and preprints are available in my home page.

1. Dani Szpruch. A p-adic analog of Hasse-Davenport product relation involving epsilon-factors. 28 pages.  (accepted for publication in Forum Mathematicum, 2024)

2. Fan Gao, Freydoon  Shahidi, Dani Szpruch. Restrictions, L-parameters and local coefficients for genuine representations. 118 pages.  (accepted for publication in  Mémoires de la Société Mathématique de France, 2023)

3. Eyal Kaplan, Dani Szpruch. A note on the representation theory of central extensions of reductive p-adic groups. Communications in Algebra, Volume 51, Issue 10,   (2023), pp. 4363-4371

4. Fan Gao, Freydoon  Shahidi, Dani Szpruch, Local coefficients and gamma factors for genuine principal series of covering groups. Memoirs of the AMS, Volume 283, Number 1399, (2023), 135 pages.

5. Dani Szpruch, Tate gamma-factor, Weil index and the metaplectic gamma-factor. Ramanujan Journal, Vol. 57 , no. 2, (2022) pp. 697-706.

6.  Dani Szpruch, On Shahidi local coefficients matrix. manuscripta mathematica, Vol 159 (2019), Issue 1-2, pp 117–159.

7. Fan Gao, Freydoon  Shahidi, Dani Szpruch, On the local coefficients matrix for coverings of SL(2). In Geometry, Algebra, Number Theory, and Their Information Technology Applications (Cham, 2018), A. Akbary and S. Gun, Eds., Springer International Publishing, pp. 207-244.

8. Dani Szpruch, A short proof for the relation between Weil indices and ε-factors. Communications in Algebra Vol. 46, (2018), no. 7, pp. 2846-2851.

9. David Goldberg, Dani Szpruch, Plancherel measures for coverings of p-adicSL(2,F). International Journal of Number Theory. Vol 12. (2016), no. 7, pp, 1907-1936.

10. Nadya Gurevich, Dani Szpruch, The non-tempered theta 10 Arthur parameter and Gross-Prasad Conjectures. Journal of Number Theory, Vol. 153 (2015), pp. 372-426.

11. Dani Szpruch, Symmetric Spherical Whittaker functions on the metaplectic double cover of Gsp(2n,F).  Canadian Journal of Mathematics Vol. 67 (2015), no. 1, pp. 214-240.

12. Dani Szpruch, Some results in the theory of genuine representations of the metaplectic double cover of GSp(2n,F) over p-adic fields. Journal of Algebra, Vol 388 (2013) pp. 160-193.

13. Dani Szpruch. Some irreducibility theorems of parabolic induction on the metaplectic group via the Langlands-Shahidi method. ,Israel Journal of mathematics, Vol. 195 (2013), no. 2, pp. 897–971.

14. Dani Szpruch. On the existence of a p-adicmetaplectic Tate-type–gamma factor. The Ramanujan Journal, Vol. 26 (2011), no. 1, pp 45-53.

15. Dani Szpruch, Computation of the local coefficients for principal series representations of the metaplectic double cover of SL(2,F)., Journal of Number Theory, Vol. 129, (2009), pp. 2180-2213.

16. Dani Szpruch, Uniqueness of Whittaker model for the metaplectic group. Pacific J. Math. 232 (2007), no. 2, pp. 453-469.

  • Linear Algebra 2, 20229 (rewrite), with Dr. Elad Paran
  • 2019, 2021, 2022   Advanced reading course in mathematics, 20934 (Representation Theory of  finite groups).