Makara Tha
M.S.c. Mathematics
University of Lucknow
About Me
I am Makara Tha. I am currently an MSc student in mathematics at the University of Lucknow. I completed a B.Sc.(Hons.) Mathematics at Kirori Mal College, the University of Delhi, India, in 2025. Apart from this, I am also a student at the Mathematical Association of Cambodia (cohort 2).
ACHIEVEMENT
Membership
Cohort II student at MAC-Mathematical Association of Cambodia, 2022 to date.
Scholarship
ICCR Scholarship, fully funded for pursuing a Master's degree at the University of Lucknow, India, 2025-2027.
ICCR Scholarship, fully funded for pursuing a Bachelor's degree at the University of Delhi, India, 2022-2025.
MoEYS Scholarship, 4-year tuition fee for pursuing a Bachelor's degree in Mathematics at Royal University of Phnom Penh, Cambodia, 2022.
ACTIVITY
Internship
Worked on: Stable homotopy theory under Dr. Prateep Chakraborty, IIT Kharagpur, India, from June 25-July 31, 2026.
Giving Talks
Basic homotopy construction of extraordinary (co)homology theories. MAC, Cambodia, February 28, 2026.
Homological Algebra. MAC's AiM School, PTEC, Cambodia, October 04-05, 2025. [details]
Lie Algebra Cohomology. MAC, Cambodia, March 30, 2025.
Triangulated Categories: definitions, properties, and examples. MAC, Cambodia, November 30, 2024.
Integral Domains: EDs, PIDs, and UFDs. MAC, Cambodia, May 31, 2023. [slide]
Relation and Function, with teammate Kimsan CHEA, MAC, Cambodia, July 23, 2022. [slide]
Joining Events/Courses
Join Sarfraz Ahmad's course, An Introduction to Gröbner Basis and its Applications, from February 12 to 15, 2024, as part of the CIMPA-ICTP online course.
International Conference on Pure and Applied Mathematics (ICAPAM), February 8 to 10, 2024, Hybrid Mode in Shyam Lal College, University of Delhi, Delhi 110032 (INDIA).
TEACHING
20226 (At MAC): Foundation Course, Calculus, Abstract Algebra
2025: Abstract Algebra, Linear Algebra, Real Analysis
READING
I am reading and discussing the following book with the guidance of my mentor, Vanny Doem.
Mathematics-2026
Simplicial homotopy theory
References:
Goerss, Simplicial homotopy theory
Spectral sequences
References:
Allen Hatcher, Spectral Sequences
McCleary, A user's guide to spectral sequences
Fomenko, Fuchs, Homotopical topology
Mathematics-2025
Homological Algebra
References:
Hilton and Stammbach, A Course in Homological Algebra
Cartan-Eilenberg, Homological algebra
Rotman, An introduction to homological algebra
Weibel, An introduction to homological algebra
Algebraic Topology
References:
Allen Hatcher, Algebraic Topology
J. P. May, A Concise Course in Algebraic Topology
John M. Lee, Introduction to Topological Manifolds
Basic homotopy theory
References:
Hatcher, Algebraic topology
May, A concise course in algebraic topology
Fomenko, Fuchs, Homotopical topology
Mathematics-2024
Topology
References:
James R. Munkres, Topology
Algebraic Topology
References:
J. P. May, A Concise Course in Algebraic Topology
John M. Lee, Introduction to Topological Manifolds
Allen Hatcher, Algebraic Topology
Category Theory
References:
Steve Awodey, Category Theory
Emily Riehl, Category Theory in Context
Triangulated Category
References:
Thorsten Holm and Peter Jorgensen, Triangulated Categories: definitions, properties, and examples
A. Neeman, Triangulated categories
Mathematics-2023
Real Analysis
References:
M. Bruckner, Elementary Real Analysis
Abstract Algebra
References:
Dummit and Foote, Abstract Algebra
Gallian, Contemporary Abstract Algebra
Calculus
References:
James Stewart, Calculus
Metric Space
References:
Mícheál Ó Searcóid, Metric Space
Inspiration Reading
Francis Su-Mathematics for Human Flourishing
David Bessis-Mathematica: A Secret World of Intuition and Curiosity
Eugenia Cheng-Is Math Real? How Simple Questions Lead Us to Mathematics' Deepest Truths
Eugenia Cheng-The Joy of Abstraction
Jeffrey R. Weeks-The Shape of Space
David Richeson-Euler's Gem
MISCELLANEOUS