- Computational Number Theory
- Quadratic Forms
- Quaternion Algebras

Experience top of the world living and learning at SRM University-AP

**+91-863-2343000 1800-599-2233 (Toll Free)**

Email: admissions@srmap.edu.in

SRM University, Andhra Pradesh

Neerukonda, Mangalagiri Mandal, Guntur District, Mangalagiri, Andhra Pradesh 522240

- Computational Number Theory
- Quadratic Forms
- Quaternion Algebras

- Multiple years, Chair of Statistics Syllabus Review Committee | University of Botswana, Botswana
- Multiple years, Member of Pure Maths Syllabus Review Committee | University of Botswana, Botswana
- 1 year, Member of Faculty of Science Research and Publications Committee | University of Botswana, Botswana
- 1 year, Departmental Time Table Representative | University of Botswana, Botswana
- 4 years, Actuarial Science Program lead | University of Northern Colorado, USA
- 1 year, Actuarial Club Faculty Advisor | University of Northern Colorado, USA
- 1 year, Chair of Departmental Search Committee | Saginaw Valley State University, USA

- Use of Geometry of Numbers techniques to demonstrate universality of certain quadratic forms over quadratic fields. Coordinated use of Quaternion Algebras and Geometry of Numbersto resolve universality in some cases.
- Computational investigations into properties of algebraic integers, algebraic number fields and related structures. Use of computer algebra systems, Python and C in these investigations.

- 1985 – PSC-CUNY Research Award Program
- 1986 - PSC-CUNY Research Award Program

- A Non-Classical Quadratic Form of Hessian Discriminant 4 is Universal over Q(), Jesse Deutsch, INTEGERS EJCNT 16, #A19 (2016)
- Conjectures on the Fundamental Domain of the Hilbert Modular Group, Jesse Deutsch, Computers and Math. with Applications, 59, 700-705 (2010)
- Universality of a Non-Classical Integral Quadratic Form over Q(), Jesse Deutsch,ActaArithmetica, 136.3, 229-242 (2009)
- Short Proofs of the Universality of Certain Diagonal Quadratic Forms, Jesse Deutsch, Archiv. der Math. 91, 44-48 (2008)
- A Quaternionic Proof of the Universality of some Quadratic Forms, Jesse Deutsch,INTEGERS EJCNT, 8.2, #A3 (2008)
- Bumby’s Technique and a Result of Liouville on a Quadratic Form, Jesse Deutsch,INTEGERS ECJNT, 8.2, #A2 (2008)
- A Quaternionic Proof of the Representation Formula of a Quaternary Quadratic Form, Jesse Deutsch,Jour. of Number Theory, 113, 149-174 (2005)
- An Alternate Proof of Cohn’s Four Squares Theorem, Jesse Deutsch,Jour. of Number Theory, 104, 263-278 (2004)
- Geometry of Numbers Proof of Gotzky’s Four Squares Theorem, Jesse Deutsch,Jour. of Number Theory, 96.2, 417-431 (2002)
- A Computational Approach to Hilbert Modular Group Fixed Points, Jesse Deutsch, Math. Of Computation, 71, 1271-1280 (2002)
- The Modular Equations of Norm 3 for Q(), Jesse Deutsch, Computers and Math. With Applications, 42 (10-11), 1291-1301 (2001)
- On Strongly Regular Graphs with , J. Deutsch and P.H. Fisher, Jour. of Combinatorics, 22, 303-306 (2001)
- Identities Arising from Hecke Transformations of Modular Forms over Q() and Q(), Jesse Deutsch, Jour. of Symbolic Computation, 15, 315-323 (1993)
- Some Singular Moduli for Q(), H. Cohn and J. Deutsch, Math. of Computation, 59, 213-247 (1992)
- Conjectures Relating to a Generalization of the Ramanujan Tau Function, Jesse Deutsch, Number Theory – New York Seminar 1989-1990, Springer-Verlag, 105-118 (1991)
- An Explicit Modular Equation in Two Variables for Q(), H. Cohn and J.I. Deutsch, Math. of Computation, 50, 557-568 (1988)
- Application of Symbolic Manipulation to the Hecke Transformations of Modular Forms in Two Variables II, H. Cohn and J.I. Deutsch, Jour. of Symbolic Computation, 4, 35-40 (1987)
- Application of Symbolic Manipulation to Hecke Transformations of Modular Forms in Two Variables, H. Cohn and J.I. Deutsch, Math. of Computation, 48, 139-146 (1987)
- Use of a Computer Scan to Prove Q and Q are Euclidean, H. Cohn and J. Deutsch, Math. of Computation, 46, 295-299 (1986)

**E-mail id:**deutsch.jesse@srmap.edu.in**Mobile No.:**