Curriculum Vitae - Özgür Esentepe

Affiliation: University of Connecticut - Department of Mathematics

e-mail: ozgur.esentepe@uconn.edu

Employment:

2019-2022 Assistant Research Professor at the University of Connecticut

2022 Research Member at MSRI

Address: 341 Mansfield Road U1009 Storrs, Connecticut 06269-1009

Citizenship: Canadian, Turkish

Homepage: www.sntp.ca

Research Interests: Commutative algebra, homological methods, representation theory in a broad sense, maximal Cohen-Macaulay modules

Education:

PhD in Mathematics, 2019 under the supervision of Joel Kamnitzer, Graham Leuschke and Ragnar-Olaf Buchweitz at the University of Toronto

MSc in Mathematics, 2014 under the supervision of Ragnar-Olaf Buchweitz at the University of Toronto

BSc in Mathematics, 2013 with honors degree at Boğaziçi University, Istanbul

Projects

NameStatusWhereJoint with
The cohomology annihilator of a curve singularity
Published
Journal of Algebra
A note on the global dimension of shifted orders
Completed
ArXiv
More topologies on the set of isomorphism classes of maximal Cohen-Macaulay modules
Completed
Draft available on sntp.ca
Trivial extension orders and dimension of singularity categories
Completed
Draft available on sntp.ca
Generic ring for perfect modules of codimension 2
Ongoing
Draft available upon request
Jai Laxmi and Jerzy Weyman
Rank functions for A_n quivers
Ongoing
In preparation
Hochschild cohomology of a noncommutative hypersurface
Ongoing
In preparation
Benjamin Briggs

Selected Talks and Presentations

TitleEventType
Annihilators of cluster tilting modules in singularity categories
Joint Mathematics Meetings AMS-MAA, 2021
Invited
Orders over CM local rings with positive CM-dominant dimension
Meeting on Representation Theory of Algebras, Corona Edition, Sherbrooke (Online), 2020
Contributed
On a theorem of Happel's
Free Resolutions and Representation Theory, ICERM (Online), 2020
Invited
Support of Tate cohomology
RRAGE: Ragnar's Ramifications in Algebra and Geometry Emerging Workshop, Fields Institute, 2019
Invited
Orders over Cohen-Macaulay local rings with positive CM-relative dominant dimension
Maurice Auslander International Conference, Woods Hole, 2019
Contributed
The Cohomology Annihilator Ideal over Gorenstein Local Rings
Interactions Between Commutative Algebra, Representation Theory and Algebraic Geometry in memoriam Ragnar-Olaf Buchweitz, Munster, 2019
Invited
A Milnor-Jung Type Formula for Double-Branched Covers of Algebraic Plane Curves
Algebra Seminar, McMaster University, 2019
Invited
Noncommutative Resolutions and Annihilation of Cohomology
Ottawa-Carleton Joint Algebra Seminar, Carleton University, 2018
Invited
Noncommutative Resolutions and Annihilation of Cohomology
Algebra Seminar, University of Waterloo, 2018
Invited
Cohomology Annihilators over Curve Singularities
International Conference on Representation Theory of Algebras, Prague, 2018
Contributed
Cohomology Annihilators over Curve Singularities
Maurice Auslander International Conference, Woods Hole, 2018
Contributed
Cohomology Annihilators in Dimension One
Commutative Algebra Seminar, University of Utah, 2018
Invited
Cohomology Annihilators in Dimension One
Algebra Seminar, Syracuse University, 2018
Invited

Schools, Workshops and Conferences Participated

👨🏻‍🏫
Teaching Experience

CoursePositionSemesterSchool
Applied Linear Algebra
Instructor
Spring 2021
University of Connecticut
Applied Linear Algebra
Instructor
Fall 2020
University of Connecticut
Multivariable Calculus
Instructor
Summer 2020
University of Connecticut
Introduction to Complex Variables
InstructorCoordinator
Spring 2020
University of Connecticut
Problem Solving
Instructor
Fall 2019
University of Connecticut
Linear Algebra II
InstructorCoordinator
Summer 2019
University of Toronto
Calculus II
Instructor
Winter 2019
University of Toronto
Calculus
Instructor
Winter 2019
University of Toronto at Mississauga
Linear Algebra II for specialists
Teaching Assistant
Winter 2019
University of Toronto
Calculus
Instructor
Fall 2018
University of Toronto at Mississauga
Linear Algebra I for specialists
Teaching Assistant
Fall 2018
University of Toronto
Calculus Bootcamp for Engineers
InstructorCoordinator
Summer 2018
University of Toronto
Calculus I
InstructorCoordinator
Summer 2018
University of Toronto
Linear Algebra I
Instructor
Winter 2018
University of Toronto at Mississauga
Classical Geometries
Teaching Assistant
Winter 2018
University of Toronto at Mississauga
Ideas of Mathematics
Teaching Assistant
Winter 2018
University of Toronto at Mississauga
Linear Algebra II
InstructorCoordinator
Fall 2017
University of Toronto
Calculus I
InstructorCoordinator
Summer 2017
University of Toronto
Linear Algebra II for specialists
Teaching Assistant
Winter 2017
University of Toronto
Linear Algebra I for specialists
Teaching Assistant
Fall 2016
University of Toronto
Linear Algebra II for specialists
Teaching Assistant
Winter 2016
University of Toronto
Classical Geometries
Teaching Assistant
Winter 2016
University of Toronto at Mississauga
Calculus for Life Sciences
Teaching Assistant
Fall 2015
University of Toronto at Scarborough
Linear Algebra I for specialists
Teaching Assistant
Fall 2015
University of Toronto
Classical Geometries
Teaching Assistant
Fall 2015
University of Toronto at Mississauga
Calculus for Business and Management
Teaching Assistant
Summer 2015
University of Toronto at Scarborough
Topology
Teaching Assistant
Summer 2015
University of Toronto
Linear Algebra for Engineering Science
Teaching Assistant
Winter 2015
University of Toronto
Linear Algebra II
Teaching Assistant
Winter 2015
University of Toronto
Linear Algebra for Engineers
Teaching Assistant
Fall 2014
University of Toronto
Linear Algebra II
Teaching Assistant
Fall 2014
University of Toronto
Linear Algebra I
Teaching Assistant
Fall 2014
University of Toronto
Linear Algebra II
Teaching Assistant
Winter 2014
University of Toronto
Linear Algebra I
Teaching Assistant
Winter 2014
University of Toronto
Linear Algebra for Engineers
Teaching Assistant
Fall 2013
University of Toronto
Linear Algebra I
Teaching Assistant
Fall 2013
University of Toronto

Mentorship, Organization, Outreach and Committee Work

NameSummary
Organizer of Mathematics Research Program
Mathematics Research Program is a research experience program directed at mathematics students at the level of undergraduate and masters. It is a 2 week program hosted by Istanbul Mathematical Sciences Center (IMBM) and funded by Centre International De Mathematiques Pures et Appliquees (CIMPA). I taught a mini course on my research and following this program started a research group with four students.
Directed Reading Program Turkey
During Summer 2021, I paired up with an undergraduate student from Middle East Technical University, Ankara. We have worked on quiver representations and my student prepared a presentation at the end on the equivalence of the category of quiver representations and the category of modules over the corresponding path algebra.
Honors Conversion
I had two undergraduate students who took my linear algebra course for honors conversion. At the University of Connecticut, this means that they did a project with me. The project was about Singular Value Decomposition and Quantum Entanglement following a blogpost of Dr. Tai-Danae Bradley.
Organizer of UCGEN Online Seminar Series
UCGEN (Uluslararasi Cebirsel GEometri Nesesi) is a weekly seminar series on Zoom ontopics near algebraic geometry. For more information please visit www.sntp.ca/ucgen.
Founder of AdIMOM
Adequate Institute of Mediocre and Outstanding Mathematics (AdIMOM) is an informal centre for mathematics in Downtown Toronto. Having started in my bachelor apartment, AdIMOM has evolved into something bigger with homemade seminars during the year and international conferences in April. With no time limit and no restriction on the subject topic, more than 60 speakers from more than 20 institutions from 4 countries participated in the homemade seminar. Starting from 2017, we also hold an annual international conference. More info can be found at http://www.math.toronto.edu/ozgures/adimom/adimom.html
Graduate Chair Search Committee
The task of the graduate chair search committee is to choose a chair to lead a three-campus Graduate Department at the University of Toronto.
Math Mentorship Program
Math Mentorship Program is one of the outreach projects of the Mathematics Department at University of Toronto, pairing Grade 11 and 12 high school students interested in the field of mathematics study and research with graduate students, post-doctoral fellows and faculty in the field. Mentors are expected to meet their students on a regular basis and mentees are expected to produce a research poster at the end of the program. I participated in this program for two years. My students prepared projects on Algebraic Graph Theory and Quiver Representation Theory.
Organizer of Graduate Student Seminar
Organised by the Math Graduate Student Association at University of Toronto, Graduate Student Seminar is a weekly seminar where graduate students present ideas in mathematics related to their research.
Volunteer at Nesin Mathematics Village
Nesin Mathematics Village is a village located in Turkey founded by Ali Nesin, who won the Leelevati Prize in ICM2018 organized in Rio. High school students are mentored during their programs which last typically two weeks in this volunteer position. I took up this position for more than 6 different programs. The mentorship includes helping students with the mathematical ideas, helping students complete their daily tasks in the village and contacting family members in case of emergency.