MEHMET HALUK SENGUN

University of Duisburg-Essen
Department of Mathematics

Address:
Fachbereich Mathematik
Universität Duisburg-Essen, Campus Essen
T03 R04 D27
Universitätsstrasse 2
45117 Essen, Germany

Email: mehmet.sengun [at] uni-due [dot] de
Telephone: +49-201-183-2957
Office: T03 R04 D53

 

 

 

This is a picture of me from my undergraduate years
at Istanbul Bilgi University Math Department.
It is drawn by my teacher Ali Nesin who is the editor of the popular math magazine Matematik Dunyasi.

picture of me
I am a post-doctoral researcher at the Arithmetic Geometry Group of University of Duisburg-Essen. I finished my PhD in mathematics at UW-Madison under the supervision of Nigel Boston.

Here is my Curriculum Vitae.

RESEARCH:

I am interested in algebraic number theory, elliptic curves, automorphic forms and Galois representations. In particular, I am working on the connection between Galois representations and automorphic forms in the setting of imaginary quadratic fields, especially from a computational perpective.

For projects and details see my Research Statement.


A list of my publications:

1. The nonexistence of certain representations of the absolute Galois group of quadratic fields ,   Proc. Amer. Math Soc. 137 (2009), 27-35.

2. Weight Reduction for Mod l Bianchi Modular Forms ,   with Seyfi Turkelli,   Journal of Number Theory. 129 (2009), 2010-2019

3. The deformation theory of Galois representations ,   in "The Proof of Fermat's Last Theorem" by Nigel Boston et. al.

4. Dimensions of Spaces of Bianchi Modular Forms,  with Nansen Petrosyan and Seyfi Turkelli, in progress.

5. A numerical study of mod p Bianchi modular forms and Galois representations,   preprint.


Here are some notes and expository papers:

1. Notes on Serre's Paper on Images of Galois Representations of Elliptic Curves ,   Mostly a (free) translation of some parts of Serre's 1972 Inventiones Paper
"Propriétés galoisiennes des points d'ordre fini des courbes elliptiques". I added some small explanations and a small appendix.

2. A survey of Serre's Conjecture over imaginary quadratic fields

BIANCHI MODULAR FORMS:

Bianchi modular forms (not a widely used name) are modular forms for GL(2) over imaginary quadratic fields. I am interested in both characteristic 0 and mod p aspects of these forms.

Here is a manuscript on Bianchi modular forms. It is taken from Chapter 1 and Chapter 7 of my thesis.

Here is a poster explaining some MAGMA programs I wrote to compute Bianchi modular forms and the Hecke action on them.

Here is the MAGMA script for the functions DIM and HECKE.

PROFESSIONAL SCHEDULE :

  1. 16-30 October 2007:   Research visit to Heinrich-Heine University at Dusseldorf, Germany
  2. 25 October 2008:   Seminar talk at Institute for Experimental Mathematics, University of Essen, Germany
  3. 17 January 2008:   Seminar talk at UIUC , (click HERE for the slides of this talk)
  4. 28 January 2008:   Seminar talk at Iowa State
  5. 12 February 2008:   Seminar talk at Five Colleges Number Theory Seminar, Amherst, USA
  6. 13 February 2008:   Research visit to Boston College, Boston, USA
  7. 7 March 2008:   Talk at Midwest Number Theory Conference at UIC, Chicago, (click HERE for the slides of this talk)
  8. 22 April - 4 May 2008:   Research visit to Heinrich-Heine University at Dusseldorf, Germany
  9. 23 May 2008:   Seminar talk at Istanbul Bilgi University, Turkey
  10. 28 May - 2 June 2008:   Talk at the 10th Antalya Algebra Days, Antalya, Turkey
  11. 28-03 June-July 2008:   Attend the CMI/MSRI Workshop: Modular Forms and Arithmetic, Berkeley, USA
  12. 17-23 August 2008:   Talk at the Computations with Modular Forms Conference, Bristol, UK
  13. 3 October 2008 :   Seminar talk at the University of K.U.Leuven Campus Kortrijk, Belgium
  14. 6-10 October 2008:   Attend the Conference on Arithmetic Algebraic Geometry, Bonn, Germany
  15. 17-21 November 2008:   Attend the Autumn School on Geometric Invariants of Groups , Gottingen, Germany
  16. 8 January 2009 :   Seminar talk at the University of Duisburg-Essen
  17. 30 March - 3 April 2009:   Attend the Conference on the occasion of Fritz Grunewald's 60th Birthday , Oxford, UK
  18. 6-10 April 2009:   Visit King's College, London, UK
  19. 7 April 2009:   Seminar talk at the University of Warwick, UK
  20. 8 April 2009:   Seminar talk at London Number Theory Seminar, London, UK
  21. 22-27 June 2009:   Attend the SAGE Days 16 , Barcelona, Spain
  22. 13-17 July 2009:   Attend the Conference "Modular forms, p-adic Hodge Theory and Applications" , Roscoff, France
  23. Summer 2009 :   Visit the Nesin Mathematical Village, Izmir, Turkey
  24. 12 August 2009:   Seminar talk at the Max Planck Institute Number Theory Seminar, Bonn, Germany (click HERE for the slides of this talk)
  25. 7-11 September 2009:   Attend the GTEM Conference "Explicit cohomology computations and Computational arithmetic geometry" , Warwick, UK
  26. 26-30 October 2009:   Attend the Autumn School "Towards a p-adic Langlands Correspondence" , Sevilla, Spain
  27. 1 January- 31 April 20010:   Visitor at HIM , Bonn, Germany
  28. 18 January 2010:   Talk at HIM, Bonn, Germany
  29. 26 January 2010:   Talk at the University of Warwick, UK
  30. 16-20 February 2010:   Attend the Conference on Algebraic Geometry and Arithmetic , Essen, Germany
  31. 1 May - 9 July 2010:   Attend the special program in Arithmetic Geometry at the CRM , Barcelona, Spain

TEACHING:

I have many years of experience in teaching (at the levels of TA, Instructor and also Coordinator) undergraduate math classes of varying levels.

Here is my Teaching Statement.


I taught/coordinated Math 101 classes in 2008 spring semester. Here is the LINK to the webpage of the class.

Here is a review sheet I prepared for Math101 from previous semesters.
Math 101 Review.

Here is a list of the math classes I taught with the student evaluations I got. The bottom ones that have no evaluation are taught at Istanbul Bilgi University.

Semester Class Responsibility Evaluation
2008 Summer Beginning and Intermediate Algebra
for PEOPLE 		Instructor n/a
2008 Spring Math 101 , Intermediate Algebra Coordinator/Instructor superior
2007 Fall Math 113 , Trigonometry Instructor satisfactory +
2007 Summer Beginning and Intermediate Algebra
for PEOPLE 		Instructor n/a
2007 Spring Math 101 , Intermediate Algebra Coordinator/Instructor superior
2006 Fall Math 210 , Topics in Finite Mathematics TA satisfactory
2006 Summer Beginning and Intermediate Algebra
for PEOPLE 		Instructor n/a
2006 Spring Math 113 , Trigonometry Instructor satisfactory +
2005 Fall Math 213 , Calculus and Introduction to Differential Equations TA superior
2005 Summer Beginning and Intermediate Algebra
for PEOPLE 		Instructor n/a
2005 Spring Math 113 , Trigonometry Instructor satisfactory +
2004 Fall Math 210 , Topics in Finite Mathematics TA satisfactory +
2004 Spring Math 101 , Intermediate Algebra Instructor superior
2003 Fall Math 222 , Calculus and Analytic Geometry II TA satisfactory +
2003 Spring Math 221 , Calculus and Analytic Geometry I TA satisfactory +
2002 Fall Math 222 , Calculus and Analytic Geometry II TA satisfactory
2002 Spring Math 321 , Measure Theory TA n/a
2002 Spring Math 112 , Set Theory II Instructor n/a
2002 Fall Math 222 , Topology and Metric Spaces TA n/a
2001 Spring Math 111 , Set Theory I Instructor n/a

 

 

 

 

 

 

 

 

 

Costume Jewelry
Costume Jewelry