**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

Name | Status | Where | Joint 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 |

Title | Event | Type |
---|---|---|

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 |

Course | Position | Semester | School |
---|---|---|---|

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 |

Name | Type | Year |
---|---|---|

Queen Elizabeth II Graduate Scholarship | Scholarship | 2018-2019 |

TATP Teaching Excellence Award Shortlist | Teaching AwardUniversity-wide | 2017 |

Delury Teaching Assistant Award | Teaching AwardDepartment-wide | 2017 |

University of Toronto Graduate Fellowship | Scholarship | 2013-2018 |

Ontario Graduate Scholarship | Scholarship | 2015-2016 |

TUBITAK (The Scientific and Technological Research Council of Turkey) Scholarship | Scholarship | 2008-2013 |

Name | Summary |
---|---|

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. |