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Hello and welcome to my website. I'm an Assistant Teaching Professor in the Department of Mathematics at the University of Tennessee, Knoxville. I have recently completed my PhD in August 2025 at Purdue University, where I studied Algebraic Geometry. My dissertation focused on a version of the equivariant RIemann–Roch theorem for equivariant line bundles on nonsingular projective surfaces over the complex numbers.
Below, you'll find information about my teaching, notes, upcoming seminars, and recent talks. Feel free to contact me at akafkas[at]utk[dot]edu.
Current Teaching:
TBA
Upcoming Talks:
Math Student Colloquium – Part II at Purdue on 04/23/2025 at 4:30 PM – Outline: PDF
Math Student Colloquium – Part I at Purdue on 04/16/2025 at 4:30 PM
Upcoming Conferences:
TBA
Recent Teaching:
Spring 2025 MA26100 in Indianapolis. Click here for the quizzes.
— Midterm 1 study guide: PDF
— Midterm 2 study guide: PDF
— Final Exam study guide: PDF
Fall 2024 MA26100 in Indianapolis. Click here for the webpage.
Summer 2024 MA59800QALG notes. PDF (updated 08/02/2024) -- Practice Qual 1 PDF
Spring 2024 D-module learning seminar notes. PDF (updated 04/14/2024)
Fall 2023 MA59500 notes (abstract algebra qual prep.) PDF
Summer 2023 MA59800 notes (abstract algebra qual problems). PDF
Spring 2022 MA15500 Quantitative Reasoning: Click Here
Fall 2021 MA16020 Applied Calculus II: Click Here
Summer 2021 MA16010 Applied Calculus I: Click Here
Spring 2021 MA16020 Applied Calculus II: Click Here
Fall 2020 15800 Pre-calculus: Click Here
Spring 2020 MA16200 Calculus II: Click Here