Vanny is a research fellow at IIT Kharagpur and working on the equivariant rational homotopy theory/ abstract nonsense under the guidance of Prof. Samik Basu at ISI Kolkata. Apart from this, he is also a member of the Mathematical Association of Cambodia (MAC) where he has taught and helped many Cambodian students to pursue their higher studies abroad in various areas of both pure and applied mathematics.
Reach me: vanny[dot]doem[at]gmail[dot]com
RESEARCH
Research interest includes algebraic nonsense category theory, algebraic topology, and homotopy theory.
Publications
Coloring discrete pseudomanifolds (in communication)
Rational stable homotopy groups of the equivariant sphere spectrum (in preparation)
Rational stable homotopy type of equivariant projective spaces and Grassmanians (in preparation)
A survey paper on a conjecture in the rational equivariant stable homotopy
ACTIVITY
Organizing programs
Generalized Tate cohomology. ISI Kolkata, India, March 11, 2025
Linear Algebra, Real Analysis and Topology. MAC's BiM School, Cambodia, Nov. 09-10, 2024
Generalized Tate cohomology. Weekly seminar, ISI Kolkata, Jan - April 2025. (with Risav K. Baradia)
Homological algebra. MAC's AiM School, Cambodia, Oct. 11-12, 2025
On the Kevaire invariant one problem. ISI Kolkata, India, July 21 - Nov 03, 2025
Invited talks
Generalized Tate cohomology. ISI Kolkata, India, March 11, 2025
From old to new computation and intuition of classification problems in topology. RUPP, Cambodia, Aug.18, 2021
Coloring discrete pseudomanifolds. ICM - Sectional Workshop, Copenhagen, Denmark, July 06-14, 2022
Sphere coloring conjecture. MAC, Cambodia, Nov. 28, 2022
Spectral sequences and Serre classes. MAC, Cambodia, March 31, 2023
All concepts are Kan extensions. MAC, Cambodia, March 31, 2024
_____Talk shows
Is mathematics invented or discovered? MAC, Cambodia, Oct. 22, 2020
Euler's gem -The polyhedron formula and the birth of topology. MAC, Cambodia, Aug. 27, 2021
The Poincaré conjecture: In search of the shape of the universe. MAC, PTEC, Cambodia, Nov. 11, 2023
Discourse on methods. MAC's BiM workshop, Cambodia, Nov 10, 2024
Organizing and contributing talks
Computations of homotopy groups of spheres and cobordisms. ISI Kolkata, India, July 25 - Nov. 11, 2023
Group (co) homology. ISI Kolkata, India, May 21 - July 16, 2024
Multiplicative structures on Morava E-theory. ISI Kolkata, India, Jan. 01 - April 23, 2024
Ranks of RO(G)-graded stable homotopy groups of spheres for finite groups G. ISI Kolkata, India, Sep 02, 2024
Generalized Tate cohomology. ISI Kolkata, India, March 11, 2025
Schools/ conferences attended
Scientific computational and environmental science. CMU-IWR, Chiang Mai Uni., Thailand, March 08-16, 2018
Global homotopy theory. ATM School, IIT Bombay, India, Feb 10-14, 2020
International Conference of Mathematicians - ICM 2022. Copenhagen, Denmark, July 06-14, 2022
Bengal topology circle meeting. CREST, India, Jan 20, 2023
Dualities in topology and algebra. ICTS, Bangalore, India, May 15-26, 2023
Hochschild homology. IISER Kolkata, India, Dec. 04-16, 2023
Bengal topology circle meeting. IISER Kolkata, India, Jan. 12, 2024
Holomorphic and topological methods in symplectic geometry. ISI Kolkata, India June 03 - 08, 2024
Operads in topology. IIT Bombay, India, Nov 29 - Dec 04, 2024
Recent advances in stable homotopical computations, India, Dec 26-31, 2025
Programs to apply
THH at ICTS (India), May
Topology https://www.gstgc2026.com/home, January 15
YTM https://www.math.ku.dk/english/calendar/events/ytm26, 29 March
Hochschild cohomology, https://sites.google.com/view/multiple-perspectives-on-hh, 31 Jan
Topological and homological methods in group theory, https://www.math.uni-bielefeld.de/groupsgeometry/thgt26/, 13 Feb
* Homotopy colimits, https://sites.google.com/view/reginahomotopy, 06 Feb
112th Peripatetic Seminar on Sheaves and Logic, https://sites.google.com/view/pssl112/participants?authuser=0, Feb 06
TEACHING
ITC - Institute of Technology of Cambodia
Duration: Feb - July 2021
Teaching: Calculus I & II, Linear Algebra, ODE
Duration: Jan - May 2021
Teaching: Differential Geometry
MAC - Mathematical Association of Cambodia
Teaching courses 2020 to date
Spectral sequences (Hatcher+McCleary) (Jan - May 2026)
Teaching SS in Hatcher, presentations by them in McCleary
Basic homotopy theory (June - Dec 2025) - Representation theory (Jan - May 2025) - Linear algebra (Jan - May 2024) - Category theory (Jan - May 2024) - Homological algebra (June - Oct 2024) - Abstract algebra (June - Nov 2024) - General topology (Jan - May 2023) - Ring, module, and field theory (May - July 2023) - Algebraic topology (Aug - Dec 2023) - Differential geometry (Jan - April 2022) - Differential topology (May - Aug 2022) - Graph theory (Sep - Dec 2022) - Calculus (Jan - April 2021) - General topology (Jan - April 2021) - Real analysis (Jun - Nov 2021) - Abstract algebra (Jun - Nov 2021) - Calculus I+II (Jan - May 2020) - Real analysis (Jun - Nov 2020)
Writing
Articles in Khmer: Abstract Mathematics - The Poincaré Conjecture and Grigori Perelman
Reasons to quit FB !
