Geunho Lim - Teaching

For Kangnam University Students

Course materials are available on the e-Learning Campus!

Students interested in mathematics, directed reading, or undergraduate research opportunities are always welcome to stop by my office and talk with me :)

Kangnam University

Quantitative Reasoning and AI (SP. 2026)

Mentoring for a UCSB undergraduate topology seminar

In the undergraduate topology seminar, students learn to research independently through studying Using the Borsuk-Ulam Theorem : Lectures on Topological Methods in Combinatorics and Geometry, which is a graduate-level mathematics textbook. Main topics are to study basic concepts in PL topology, to understand various proofs of the Borsuk–Ulam theorem, and to journey its applications in combinatorics, graph theory, discrete geometry, and measure theory.

It is based around the self-paced reading of the textbook with guidance by the mentor. Each student is expected to undertake at least two hours of independent study, one hour of group discussion, and two hours of meeting with the mentor. During an 2-hour-long weekly meeting, each undergraduate student gives a 20-minute presentation on their progress to an audience of their peers.

A weekly group meeting : A proof of Tucker's lemma in graph theory

(Jingsi Hou, Guangyan Huang, Sammy Suliman, Haoran Yan)

Spring 2022 - Summer 2022

Jingsi Hou, Guangyan Huang, Sammy Suliman, Haoran Yan

Lovasz’ Conjecture and Other Applications of Topological Methods in Discrete Mathematics, submitted.

Fall 2022- Spring 2023

Muliang Han, Zhenhao Jiang, Lishan Shi, Hanlu Wu, Niels Wang, Jianing Zhang, Liu Jia Zhang

University of California, Santa Barbara

Math 145 Introduction to Topology (SP. 2023)
Math 118C Introduction to Real Analysis (SP. 2023)
Math 118B Introduction to Real Analysis (WT. 2023)
Math 118A Introduction to Real Analysis (FA. 2022)
Math 117 Methods of Analysis (WT. SU. FA. 2021, WT. SP. 2022)
Math 113 Non-Euclidean Geometry (FA. 2021)
Math 6A Vector Calculus 1 (FA. 2020, WT. SP. SU. 2021, SP. 2022)

Indiana University Bloomington

D116 Introduction to Finite Mathematics 1 (FA. 2019)
M119 Brief Survey of Calculus 1 (SU. 2018)
M025 Pre-Calculus Mathematics (FA. 2017, SP. 2018)

TA: V119 Applied Brief Calculus 1 (SP. 2018), M119 Brief Survey of Calculus 1 (SP. FA. 2015, FA 2017), M118 Finite Mathematics (FA. 2015), D117 Introduction to Finite Mathematics 2 (SP. 2015)

Grader: M522 Topology 2 (SP. 2019), M529 Introduction to Differential Topology (SP. 2019), S403 Honors Course in Modern Algebra 1 (FA. 2018), M403 Introduction to Modern Algebra 1 (FA. 2018), M521 Topology 1 (FA. 2018), M303 Linear Algebra for Undergraduates (SP. 2017), M413 Introduction to Analysis 1 (FA. 2016), M420 Metric Space Topology (SP. 2016), M415 Elementary Complex Variables with Applications (SP. 2016)