Photo taken at the METU Devrim Stadium in 2016
My Educational Background
B.Sc. in Mathematics with cum laude at
Middle East Technical University, Ankara, Türkiye
M.Sc. in Mathematics at
Bilkent University, Ankara, Türkiye
Advisor: Matthew J. K. Gelvin (Ph.D., MIT 2010)
M.S. in Mathematics at
West Virginia University, Morgantown, WV, USA
Ph.D. Student in Mathematics at
University of California, Santa Cruz, Santa Cruz, CA, USA
Mathematics Department, McHenry 4114
University of California, Santa Cruz
1156 High Street
Santa Cruz, CA 95064
E-mail: mekaraka @ ucsc.edu
Pronouns: he/him/they/them
My native language, Turkish, is a gender-neutral language.
Year after year I have searched for myself,
In no way have I found myself.
Am I a spectre or am I a dream? It cannot be known.
In no way have I found myself.
Am I a human, an animal or a plant?
Am I a crop, sown and reaped,
Or else, am I health itself?
In no way have I found myself.
Aşık Veysel Şatıroğlu
Translated by Ruth Davis
Special thanks to Yılmaz Akyıldız
Work Experience
Teaching Assistant at University of California, Santa Cruz, 2024 - Present
Graduate Teaching Assistant at West Virginia University, 2021 - 2024
Teaching Assistant at Bilkent University, 2017 - 2020
Computer Lab. Assistant at Middle East Technical University, 2016 - 2017
Publication(s)
Mathematics graduate teaching assistants grading of students' solutions for optimization problems in Calculus.
[in preparation]
joint work with D. Miller, J. Cook, T. McEldowney, W. Robertson, K. Roxby, E. Townsend.
Constructions and simplicity of the Mathieu groups. [pdf]
Bilkent University Library, M.Sc. Thesis, 2020
Abstract: Of the 26 sporadic finite simple groups, 5 were discovered by E. Mathieu in 1861 and 1873 [1], [2]. These Mathieu groups are the focus of this thesis, where we will prove their simplicity using elementary methods. E. Witt [5] realized a connection between the Mathieu groups and certain combinatorial structures known as Steiner systems. We will follow his construction to define the Mathieu groups as the automorphism groups of certain Steiner systems. Much of the work of the thesis lies in the construction of these Steiner systems, which we achieve by using both methods from finite geometry and the theory of Golay codes.
Useful Links
Awards and Honors
Teaching Assistantship by University of California, Santa Cruz, 2024
Global Affairs Scholarship by West Virginia University, 2021, 2023
Graduate Teaching Assistantship by West Virginia University, 2021
Bilkent Departmental Scholarship by Bilkent University, 2017
Nazım Terzioğlu Fellowship by the Turkish Mathematical Society, 2016
Attended Distinguished Lectures
Cahit Arf Lecture on November 29, 2018 by Fernando Rodriguez Villegas (International Centre for Theoretical Physics, Italy)
”Combinatorics and Geometry” at Cahit Arf Auditorium, METU Mathematics Department, Ankara, Türkiye
Turkish Math. Society Tosun Terzioglu Lecture on September 28, 2018 by Robert Langlands (Institute for Advanced Studies, Princeton, USA)
”Otomorfik formlarin bagimsiz bir teorisi var mi?” (Lecture given in Turkish) at Sabanci University Minerva Palas, Istanbul, Türkiye
METU 60th Anniversary Honorary Lecture Series 2 on November 26, 2015 by Edward Frenkel (University of California, Berkeley, USA)
”Mathematics and Love in the Age of Artificial Intelligence” at Kemal Kurdas Hall, METU Cultural and Convention Center, Ankara, Türkiye
Cahit Arf Lecture on April 21, 2015 by Vladimir Voevodsky (Institute for Advanced Studies, Princeton, USA)
”Univalent Foundations of Mathematics” at Cahit Arf Auditorium, METU Mathematics Department, Ankara, Türkiye
Cahit Arf Lecture on March 4, 2014 by Persi Diaconis (Stanford University, USA)
”The Mathematics of Coincidences” at Cahit Arf Auditorium, METU Mathematics Department, Ankara, Türkiye
Attended Workshops
AMS Joint Mathematics Meetings on January 8-11, 2025
at Seattle Convention Center and the Sheraton Grand Seattle, Seattle, WA, USA
Highway CA-17 Groups, Geometry, and Topology Seminar
at UC Santa Cruz, CA, USA on February 28, 2025
at San José State University, San José, CA, USA on November 8, 2024
Fairfax Algebra Days on March 9-10, 2024
at George Mason University, Fairfax, VA, USA
SIGMAA on Research in Undergraduate Mathematics Education on February 22-24, 2024
on-line
Morgantown Algebra Days on April 22-23, 2023
at West Virginia University, Morgantown, WV, USA
Professional Memberships
American Mathematical Society, 2021 - Present
Turkish Mathematical Society, 2018 - Present