ABBREVIATED VITA

Doğan Çömez

Professor                                                                       

Department of Mathematics                                             701-231-7598 (Fax) 

North Dakota State University                                          Dogan.Comez@ndsu.edu

Fargo, ND  58108-6050

 

Education

Ph.D.  1983, University of Toronto, Toronto, Ontario, Canada

M.S.  1980, Middle East Technical University (METU), Ankara, Türkiye

B.S.  1978, Middle East Technical University, Ankara, Türkiye

 

Professional Employment and Academic Experience

7/2001-Present, Professor, Department of Mathematics, NDSU

7/2013-Present, Interim Director, Center for Science and Mathematics Education, NDSU

7/1998-6/2001, Chair, Department of Mathematics, NDSU

8/1997-6/1998, Interim Chair, Department of Mathematics, NDSU

8/1992-6/1993, Visiting Assistant Professor, Akdeniz University, Antalya, Türkiye

7/1991-6/2001, Associate Professor, Department of Mathematics, NDSU

9/1985-6/1991, Assistant Professor, Department of Mathematics, NDSU

9/1983-8/1985, Instructor, Department of Mathematics, METU

 

Teaching

Undergraduate Courses Taught During the Past Eight Years:  Calculus sequence, Introduction to Differential Equations, Differential Equations and Vector Analysis, Introduction to Abstract Mathematics, Linear Algebra, and Real Analysis.

Graduate Courses Taught During the Past Eight Years:  Real Analysis, Functional Analysis, Dynamical Systems, Modern Probability Theory, Fractal Geometry and Dimension Theory.

 

Supervised Field Experience During the Past Eight Years:

·       Supervised four Ph.D. theses

·       Supervised independent study courses for several undergraduate and graduate students

·       Supervising one Ph.D. student

 

Student Committees in the Past Eight Years:

Committee member for more than 30 graduate students.

 

Research

Research Interest: Almost everywhere and norm convergence of additive/superadditive processes, weighted/subsequential ergodic theorems, ergodic theorems in von Neumann algebras. Also interested in applications of mathematics in various interdisciplinary settings.

 

Selected Publications in Refereed Journals:

1.      Recurrence properties of superadditive processes and universally good weights, AMS Contemporary Mathematics, 797, 189-201, 2024

2.      Quantization for infinite affine transformations, Fractal and Fractional, 6, 239-264, 2022 (Jointly with M.K. Roychowdhury)

3.      Canonical sequences of optimal quantization for condensation measures, Quantitative Theory of Dynamical Systems, 21, 79-107, 2022 (Jointly with M.K. Roychowdhury)

4.      Individual ergodic theorems for infinite measure, Colloquium Mathematicum, 167, 219-238, 2022. (Jointly with V. Chilin and S. Litvinov)

5.      Quantization for uniform distributions of Cantor dusts on 2, Topology Proceedings, 56, 195-218, 2020 (Jointly with M.K. Roychowdury)

6.      Quantization for uniform distributions on stretched Sierpiński triangles, Monatshefte für Mathematik,190, 79-100, 2019 (Jointly with M.K. Roychowdury)

7.      Good modulating sequences for ergodic Hilbert transform, Turkish J. Math., 39, 124-138, 2015 (Jointly with A. Akhmedov)

8.      Individual ergodic theorem with operator-valued Besicovitch weights, Positivity, 17, 27-46, 2013 (Jointly with S.N.Litvinov)

9.      The modulated ergodic Hilbert transform, Discrete & Cont. Dyn. Syst., Series S, 2, 325-336, 2009

10.   Existence of discrete ergodic singular transforms for admissible processes, Colloquium Mathematicum, 112, 335-343, 2008

11.   Ergodic averages with generalized weights, Studia Mathematica, 173, 103-128, 2006 (Jointly with S. N. Litvinov)

12.   The ergodic Hilbert transform for admissible processes, Canadian Math. Bull., 49, 203-212, 2006

13.   Multiparameter admissible superadditive processes, Colloquium Mathematicum, 102, 291-305, 2005

14.   Multiparameter superadditive ergodic theorems for mean ergodic L-1-contractions, Prob. & Math. Stat., 23, 173-187, 2003 (Jointly with M.Lin).

15.   Norm convergence of moving averages for t-integrable operators, Rocky Mountain J. Math., 30, 1251-1263, 2000 (Jointly with S. N. Litvinov).

 

Selected Interdisciplinary Articles in Refereed Journals:

1.     Steady-State Skill Levels of Workers in Learning and Forgetting Environments: A Dynamical System Analysis, to appear in European Journal of Operational Research, 33 pages (Jointly with S. Teyarachakul and H. Tarakci)

2.     Networking Antarctic Research Discoveries to a U.S. Science Classroom, Science Scope, 32 (2) 30-33, 2008 (Jointly with A. Podoll, B. Olson, L.M. Montplaisir, D.P. Schwert, K. McVicar, and W.O. Martin)

3.     Quantitative Literacy as an integral Component of Mathematics Curriculum, Case at NDSU, MAA Notes #70, Current Practices in Quantitative Literacy, Rick Gillman, ed., 155-163, 2006 (Jointly with W.O. Martin). 

4.     Developing a Departmental Assessment Program: NDSU Mathematics, MAA-SAUM, Case Studies, 93-102, 2006 (Jointly with W.O. Martin).  (Electronic version, MAA-SAUM Website, 2003, http://maa.org/saum/new_case.html)

5.     Selectivity and affinity of matrix metalloprotease inhibitors, Modelling Structure and Reactivity in Bio. Systs., Roy. Soc. Of Chem., Cambridge, UK, 193-205, 2006 (V. Lukachova, A. Khandaval, Y. Zhang, D. Comez, D. Kroll, S. Balaz)

6.     A Combination of docking QM/MM methods, and MD simulation for binding affinity estimation of metalloprotein ligands, J. Med. Chem., 48, 5437-5447, 2005 (A. Khandaval, V. Lukachova, D. Comez, D. Kroll, S. Raha and S. Balaz)

7.     A Comparison of the Binding Sites of Matrix Metalloproteinases and Tumor Necrosis Factor- Converting Enzyme: Implications for Selectivity, J. Med. Chem.; 48 No: 7, 2361 – 2370, 2005 (V. Lukacova, Y. Zhang, D. M. Kroll, S. Raha, D. Comez, and S. Balaz)

8.     Processing Multimode Binding Situations in Simulation-Based Prediction of Ligand-Macromolecule Affinities, The Journal of Phys. Chem. A Letters, 109, 6387-6391, 2005 (A. Khandaval, V. Lukachova, D.M. Kroll, S. Raha, D. Comez and S. Balaz)

9.     Simulation-Based Predictions of Binding Affinities of Matrix Metalloproteinase Inhibitors, Qsar and Combinatorial Science, 23, 754-766, 2004 (A. Khandaval, V. Lukachova, D. Comez, D. Kroll, S. Raha and S. Balaz)

 

Books Published:

Fundamentals of Functional Analysis, Linus Learning, Inc. 2017; ISBN-13: 978-1-60797-751-3

 

 

Refereed Encyclopedia/Handbook Entries:

·       Modern ergodic theory: from a physics hypothesis to a mathematical theory with transformative interdisciplinary impact, in Handbook of the Mathematics of the Arts and Sciences, Chapter 31-1, 1969-1992, 2021, Springer Nature, ISBN-13: 978-3-319-57072-3 (online), 978-3-319-57071-6 (print)

·       Mathematics in Asia WestEncyclopedia of Mathematics and Society, 74-76, Salem Press, 2012, ISBN-13: 978-1587658440 (Jointly with S.J. Greenwald and J.E. Thomley)

·       Curves, Encyclopedia of Mathematics and Society, 280-282, Salem Press, 2012, ISBN-13: 978-1587658440 (Jointly with S.J. Greenwald and J.E. Thomley)

·       Mathematics Genealogy Project, Encyclopedia of Mathematics and Society, 628-629, Salem Press, 2012, ISBN-13: 978-1587658440

·       Polyhedra, Encyclopedia of Mathematics and Society, 782-784, Salem Press, 2012, ISBN-13: 978-1587658440 (Jointly with S.J. Greenwald and J.E. Thomley)

·       Surfaces, Encyclopedia of Mathematics and Society, 964-966, Salem Press, 2012, ISBN-13: 978-1587658440 (Jointly with S.J. Greenwald and J.E. Thomley)

 

Participation in Professional Conferences:

Frequent participant of various international/national/state professional conferences and meetings (organized by AMS or other professional organizations).  Complete list of presentations is available upon request.

 

Some Grant Proposals Funded

·       ND PRIME: Problem Solving, Reasoning, and Inquiry for Mathematics Educators, PI (9/11-10/13). Co-PI (1/11-9/11). Funded by ND Department of Public Instruction, 1/2011-10/2013.

·       Noyce Scholarship Program at NDSU, Co-PI. Funded by NSF-DUE, 1/2009-5/2013.

·       Computational MRI, Senior Personnel. Funded by NSF-MRI, 2012-2013.

·       Graduate Student-University-School Collaborative for Science, Mathematics, Engineering and Technology-II (GraSUS-II). PI. Funded by NSF-DGE, 6/2004-12/2009.  Currently being funded by Fargo and West Fargo School Districts.

·       NDSU Collaborative for Mathematics and Engineering Scholarships (CoMES). PI. Funded by NSF-DUE, November 2001-June 2006.

·       Graduate Student-University-School Collaborative for Science, Mathematics, Engineering Technology (GraSUS).  PI.  Funded by NSF-DGE, March 2001-December 2003.

·       Ergodic Averages of Superadditive Processes. PI. Funded by NSF-EPSCoR, May 2000-April 2001. 

·       NDSU Collaborative for Mathematics and Science Teacher Preparation (CoMSTeP). Co-PI.  Funded by NSF- DUE, March 1999-March 2003

·       Regional Conference on Ergodic Theory and Combinatorial Number Theory at NDSU. PI. Funded by NSF-CBMS, June23-28, 1990.

 

Selected Service Duties in the Past Eight Years 

Department:  

·       Chair, 7/1998-7/2001; 8/2009-7/2013

·       PTE Committee, member and chair, 8/2007-8/2009, 7/2014-6/2015, 5/2016-7/2017

·       Graduate Committee, 6/2018-5/2020, member

·       Calculus Improvement Committee, 8/2015 – 11/2017, chair

·       Search Committee, chair and member, 5/2004-5/2006, 8/2013-5/2014, 3/2018-8/2018, 8/2021-5/2022

·       Sonya Kovalevsky Mathematics Day Organizing Committee, co-organizer, 2003-2018

 

College: 

·       CAS PTE Committee, chair, 4/2024-Present

·       CSM PTE Committee, member, 6/2023-3/2024

·       Dean Search Committee, member, 2019

·       Assistant Dean for Student Success Search Committee, member, 2021

·       CSM board of Advisors Taskforce, member, 2020

·       CSM Assistant Dean for Student Success Search Committee, member, 2020-2021

·       Interim Director, Center for Science and Mathematics Education, 8/2013-6/2014

·       Dean Evaluation Committee, member, 2015-2016

·       Chair Review Committee, 2014, chair, 2015-2016, chair

·       College Realignment Committee, member, 2016

 

University: 

·       Phase-II Inquiry Committee, chair, 2021

·       Academic Integrity Committee, member, 6/1995-10/1999, 8/2002-5/2004, 9/2006-2009, chair/co-chair, 2020-Present

·       NDSU Strategic Planning Committee, member, 2019-2020

·       Faculty Senate Committee on Improving Quality of Academic Operations, chair, 4/2013-Present

 

Outreach: 

·       The GraSUS Project (in Cass County and Moorhead secondary schools, the project impacted 40+ teachers and 2100+ students each year during 2001-20010; currently continuing in a 1/3 scaled down level), 2001-Present.

·       Organizer, Sonya Kovalevski Mathematics Day, 2001; co-organizer, 2002-2018

·       Conducted workshops for Governor’s School students (on polyhedra, fractals, and coding theory), 2004-Present.

·       NDUS Common Course State Standards Taskforce; NDSU representative at the NDUS Mathematics and Statistics Discipline Group.

·       ND EPSCoR Science Bound and AURA panels. 

 

Service to Scientific and Education Community

·       Developing a model assessment program for mathematics departments via (NSF-funded) MAA Supporting Assessment in Undergraduate Mathematics (SAUM) project.

·       Refereeing for numerous mathematics journals

·       Editorial Board member for Mathematical Journal of Interdisciplinary Sciences

·       Reviewer for AMS Mathematical Reviews and Zentralblatt MATH.

·       Reviewer for NSF-MSP program, 2004, 2006, 2008, 2009, 2010

·       Member of NSF-MSP Critical Site Visit Team for El Paso MSP (June 2004) and for New Jersey MSP, July 2005

·       NSF Planning Committee member for 2004 NSF GK-12 Meeting (Fall 2003). (Regular participant in NSF-DGE Annual GK-12 Meetings as PI, 2001-2007

·       Proposal Reviewer for Israeli Science Foundation, Fall 2012

·       Advisory Committee, Mathematics Genealogy Project, member, 2014-2016

·       Research Award Evaluator, ODTU-M. Parlar Education and Research Foundation, Türkiye, November 2019

 

 

Awards/Honors:

·       Robert Odney Excellence in Teaching Award, 2007

·       College of Science and Mathematics Distinguished Service Award, 2007

·       Blue Key Honor Society Distinguished Educator Award, 2016

 

 

Last updated: July 20, 2024

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