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 graduated from high school in 2021 and 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
Invited 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 of Gröbner basis and its Applications from February 12 to 15, 2024, 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
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