Activities

Workshop/Seminar organizations

• (Upcoming) Workshop on toric topology (A part of the Fields focus program: Toric Topology, Geometry and Polyhedral Products), Fields Institute, Canada, July 27~August 26, 2024.

(with Lisa Jeffrey and Taras Panov)

• 2023 KMS Annual Meeting - Special session "Toric Topology", Seoul National University, Republic of Korea, October 26--28, 2023.

(with Suyoung Choi) 

• PNU Geometry and Topology Seminar, Pusan National University, Korea, Sep. 2023 ~ Present.

• Workshop on topological data analysis: mathematics, physics and beyond, KIAS, Korea, February 8--10, 2023

(with Sang-Hyun Kim and Irving Rondon)

• The 6th Korea toric topology workshop, KAIST, Korea, July 11~13, 2022.

(with S. Choi, Y. Cho, S. Park, T. Hwang, E. Lee and D. Suh) 

• T-Seminar, Nov. 2022~present

(with Yunhyung Cho, Jaehyun Hong and Eunjeong Lee)

• Toric topology seminar, KIAS, Korea, July 2020~present

• KIAS topology seminar, KIAS, Korea, September 2019~October 2022. 

• Toric Topology Postdoc Seminar, Fields Institute, Canada, January 2020~March 2020 

(with Jeffrey Carlson, Jeremy Lane, Ivan Liminchenko, Xin Fu and Tseleung So) 

• The 5th Korea toric topology winter torkshop, Gyeongju, Korea. January 21~January 23, 2019, 

(with Dong Youp Suh, Taekgyu Hwang and Seonjeong Park)

Workshop/Seminar presentations

2024

1. The 4th POSTECH MINDS Workshop on  Topological Data Analysis  and Machine Learning, Jan. 30--Feb.2, 2024, POSTECH, Korea. 

   • Title: Moment-angle complexes and persistent cohomology.

2. International Polyhedral products seminar, Feb. 01, 2024, Princeton University, USA

   • Title: Persistent double homology of moment-angle complexes.

3. Topology and Geometry of Torus actions and related Combinatorics, Mar. 28--31, 2024, Himeji, Japan

   • Title: Homotopy rigidity for quasitoric manifolds over the product of simplices.

4. 2024년 영남수학회 정기총회 및 연구발표회, Jun. 28--29, 2024, PNU, Korea. 

   • Title: Cohomological homotopy rigidity of toric varieties. 

5. Combinatorics and Topology week at GIST, Jul. 08, 2024, GIST, Gwangju, Korea.

   • Polyhedral products and persistent modules

6. 15th Shinchon Workshop on Algebraic Geometry (SWAG15), Jul. 12, 2024, Sogang University, Seoul, Korea. 

   • Title: Integral cohomology ring of toric surfaces.. 

7. Focus Program on Toric Topology, Geometry and Polyhedral Products - Workshop on Toric Topology, Aug 19--23, 2024, Fields Institute, Toronto, Canada.

   • Title: TBA.

2023

1. Workshop on topological data analysis: mathematics, physics and beyond, Feb. 8--10, 2023,  KIAS, Korea.

1. • Title: Persistent module of the double cohomology and its stability.

2. Toric Topology 2023 in Okayama, Feb. 21--22, 2023, Osaka Metropolitan University, Japan. 

   • Title: Integral cohomology ring of 4-dimensional toric orbifolds.

3. [Seminar talk] Seminar sereis on DS, ML & SC, May 02, 2023, POSTECH, Korea.

   • Title: Stability theorem of bigraded persistence barcodes.

4. [Colloquium] June 02, 2023, Ajou University, Korea. 

   • Title: Topology of singular toric varieties.

5.  Algebraic Geometry & Topology Workshop, Jul. 12--14, 2023, Chungbuk National University, Cheongju, Korea.

   • Title: Integral cohomology ring of toric surfaces.

6. ICIAM 2023 in Tokyo, Aug. 20--25, 2023, Waseda University, Tokyo, Japan. 

   • Title: Bigraded persistence barcodes and their stability.

7. The 4th Workshop on Topology and Geometry around Youngnam, Sep. 22--23, 2023, Daegu, Korea.

   • Title: The face numbers of lattice polytopes and toric varieties

2022

1. [Seminar talk] Complex geomtery seminar, Jan. 27, 2022, IBS-CCG, Korea.

   • Title: Regular Hessenberg varieties and toric varieties.

2. [Seminar talk] Hessenberg Seminar in Osaka (online), Feb. 15, 2022, Osaka City university, Japan.

   • Title: Regular Hessenberg varieties and toric varieties. 

3. [Seminar talk] Geometry Topology Seminar, Mar. 14, 2022, Pusan National University, Korea.

   • Title: The face numbers of lattice polytopes and toric varieties.

4. 2022 KMS Spring meeting, April 28--29, 2022, Korea.

   • Title: Toric varieties with symmetries by reflections. 

5. BK Colloquium: Rookies Pitch, May 3, 2022, Seoul National University, Korea.

   • Title: Topology of singular toric varieties.

6. PK^2 Topology workshop, May 29--June 1, 2022, Jeju Shinwha World, Korea.

   • Title: The face numbers of lattice polytopes and toric varieties. 

7. 강원경기수학회 학술대회 및 정기총회, June 10--11, 2022, 한경대학교, Korea.

   • Title: Toric varieties with symmetris by reflections.

8. The 6th Korea Toric topology workshop, July 11--13, 2022, KAIST, Korea.

   • Title: Double cohomology of moment-angle complexes.

9. 2022 Global KMS International Conference, Oct. 18--21, 2022, 한국과학기술회관, Korea.

   • Title: The integral cohomology ring of toric surfaces. 

10. PK^2 Topology workshop, Nov. 1--4, 2022, Pusan, Korea.

    • Title: Moment-angle complexes and persistent modules.

11. Geometry of Mandibular Movements and its Mathematical Modeling, Nov. 4--6, 2022, Jeju, Korea.

    • Title: Introduction to topological data analysis. 

12. [Seminar talk] Transformation groups seminar, Dec. 14, 2022, University of Western Ontario, Canada. 

    • Title: Toric surfaces with reflection symmetries. 

2021

1. Hessenberg varieties 2021 in Osaka (online), Feb. 20, 2021, Osaka City University, Japan. 

   • Title: Pearson Conjecture-Regular Hessenberg varieties and toric orbifolds.

2. Toric Topology 2021 in Osaka (online), Mar. 24--26, 2021, Osaka, Japan.

   • Title: Homotopy Classification of 4-dimensional toric orbifolds. 

3.  2021 KMS Spring meeting, April 29--30, 2021, Korea.

   • Title: The homotopy classification of toric surfaces.

4. [Seminar Talk] International Polyhedral Products Seminar (online), May 05, 2021, Princeton University, USA.

   • Title: Secondary cohomology of a moment-angle complex.

5. [Seminar Talk] Osaka Prefecture University (joint seminars with Kyoto algebraic topology seminar, Kyushu Friday topology seminar, and Shinshu topology seminar), July 09, 2021, Japan.

   • Title: Homotopy Classification of toric surfaces. 

6. 2021 KMS Annual Meeting (Online), Oct. 20--22, 2021, Korea.

   • Title: Conic decomposition of a toric variety.

7. Topology of torus actions and related topics, Oct. 25--29, 2021, Sirius Mathematics Center, Sochi, Russia.

   •  Title: Conic decomposition of a toric variety. 

8. [Seminar Talk] Topology and Combinatorics seminar, Nov. 19, 2021, Ajou University, Korea. 

   • Title: f-vectors, h-vectors and toric varieties.

2020

• 1. [Seminar Talk] Feb. 21, 2020, McMaster University, Canada.

     • Title: The integral cohomology of certain singular spaces. 

  2. [Seminar Talk] Mar. 26, 2020, Fields Institute, Canada.

     • Title: Pearson Conjecture.

  3. Workshop on Torus Actions in Topology (online), May 11--15, 2020, Fields institute, Canada.

     • Title:  Topology of singular toric varieties.

  4. [Seminar Talk] June 5, 2020, (Online) seminar on combinatorics, representation theory, symplectic/algebraic geometry related to torus actions, Korea.

     • Title: Pearson Conjecture: Toric orbifolds and Hessenberg varieties. 

  5. [Seminar Talk] June 23, 2020, KIAS Geometry, Topology & Dynamics Seminar, KIAS, Korea.

     • Title: Introduction to Polyhedral Products and Its Application to Geometric Group Theory. 

  6. [Seminar Talk] July 6, 2020, Three W's Seminar, KIAS, Korea.

     • Title: Toric varieties and Hessenberg varieties. 

  7. 2020년도 강원경기 수학회 학술 발표회 및 정기 총회 (online), September 4, Korea.

     • Title: Partitioned Permutohedra. 

  8. 2020 KMS Annual Meeting (online), Oct 23--24, 2020, Korea.

     • Title: Partitioned Weight Polytopes.

  9. International conference: Topology and geometry of group actions (online), Nov. 18--22. 2020, HSE University, Russia.

     • Title: Homotopy Classification of 4-dimensional Toric Orbifolds.

  10. Algebraic, Combinatorial and Toric Topology (online), Dec. 17--18, 2020, Steklov Mathematical Institute, Russia.

      • Title: Toric varieties associated with partitioned weight polytopes.

2019

• 1. [Seminar Talk] Feb. 18, 2019, Ajou University, Korea.

     • Title: The q-CW structure on singular toric varieties and its application to Schubert Calculus. 

  2. [Colloquium] Feb. 27, 2019, Indian Institute of Technology-Madras, India.

     • Title: The piecewise algebra on a lattice polytope, toward Schubert Calculus.

  3. Mini Workshop on Toric Topology and Related Topics, May 27, 2019, Korea Chamber of Commerce and Industry, Korea. 

     • Title: Equivariant cohomology algebras of good contact toric manifolds. 

  4. [Seminar Talk] KIAS Geometry, Topology & Dynamics Seminar, Oct. 22, 2019, Korea.

     • Title: Manifolds with locally standard torus actions and their equivariant cohomology algebras.

  5. 2019 KMS Annual Meeting, Oct. 25--27, 2019, Hongik University, Korea.

     • Title: Equivariant cohomological rigidity of good contact toric manifolds.

  6. Toric Topology 2019 in Okayama and workshop for young researchers, Nov. 18--22, 2019, Okayama University of Science, Japan. 

     • Title: Topological contact toric manifolds.  

  7. [Seminar Talk] Nov. 28, 2019, KAIST, Korea.

     • Title: Manifolds with locally standard torus actions

  8. [Seminar Talk] Dec. 22, 2019, Indian Institute of Technology-Madras, India.

     • Title: Manifolds distinguished by equivariant cohomology algebras.

2018

• 1. [Seminar talk] Feb. 06, 2018, Indian Institute of Technology–Madras, India.  

     • Title: Integral GKM-theory for orbifolds with torus actions.

  2. 2018 KMS Spring Meeting, Apr. 20--22, 2018, Kyunghee University, Korea 

     • Title: Torsion in the Cohomology of Certain Singular Spaces. 

  3. Algebraic Topology, Combinatorics, and Mathematical Physics, May 24--30, 2018, Steklov Mathematical Institute, Russia.

     • Title: GKM-orbifolds and their equivariant cohomology rings.

  4. [Seminar talk] Aug. 10, 2018, IBS-CGP, Korea

     • -Title: On the integral cohomology of certain singular spaces.

  5. 2018 POSCO Math Symposium, September 7, Hotel Interciti, Korea.

     • Title: Iterated Cofibrations on Certain Singular Spaces. 

  6. [Colloquium] Oct. 18. 2018, Indian Institute of Technology-Madras, India.

     • Title: Equivariant cohomology of torus orbifolds.

2017

• 1. [Seminar talk] Jan. 18, 2017, Indian Institute of Technology--Madras, India.

     • Title: Integrality condition on the Stanley--Reisner ring.

  2. 2017 KMS Spring Meeting Apr. 28--30, 2017, Chosun University, Korea.

     • Title: Vanishing odd degree cohomology of toric orbifolds.

  3. Princeton-Rider Workshop, On the Homotopy Theory of Polyhedral Products, May 29–June 1, 2017, Princeton university and Rider university, USA.

     • Title: The equivariant cohomology ring of toric orbifolds.

  4.  Open Chinese-Russian Conference, Algebraic Topology, Geometry and Combinatorics of Manifolds, Dec. 5--9, 2017, TSIMF in Sanya, China.

     • Title: Infinite family of equivariant formal toric orbifolds.

  5. Toric Topology 2017 in Osaka, Dec. 11--15, 2017, Osaka City University, Japan. 

     • Title: A rational CW structure on certain orbifolds. 

2016

• 1. Mini-workshop on Toric Topology in Okayama. May 21, 2016, Okayama University of Science, Japan.

     • Title: The topology of toric orbifolds. 

  2. (Seminar talk) 11, July, 2016, University of Calgary, Canada.

     • -Title: A multiplicative formula in the cohomology of toric orbifolds.

  3. 2016 KMS Annual Meeting. Oct. 22, 2016, Seoul National University, Korea.

     • Title: The weighted Stanley--Reisner ring of a simplicial fan.

  4. The 43rd symposium on Transformation group theory. Nov. 17--19, 2016, Himeji Civic hall, Japan.

     • Title: The weighted Stanley--Reisner ring of a simplicial fan and equivariant cohomology of a singular toric variety.

  5. The 4th Korea Toric Topology Workshop. Dec. 26--29, The Unipark of Jeju National University, Jeju Island, Korea. 

     • Title: Wedge operation on toric orbifolds. 

2015

• 1. Geometry and topology: A conference in honor of Martin Bendersky's seventieth birthday and in commemoration of Sam Gitler,  Mar. 18-21, 2015, Princeton University, USA.

     • Title: Torsion freeness and odd degree cohomology of toric orbifolds.

  2. 2015 KMS Annual Meeting, Oct. 23--25, 2015, Yonsei University, Korea.

     • Title: Equivariant formality of quasitoric orbifolds.

  3. International Open Chinese-Russian Conference Torus Actions: Topology, Geometry and Number Theory, Oct. 26--29, 2015, Chinese Academy of Sciences, China.

     • Title: Orbifold towers and their integral cohomology ring.

  4. The 3rd Korea Toric Topology Winter Workshop. Dec. 28--30, 2015, Gyeongju, Korea.

     • Title: A retraction of simple polytopes and homology of toric orbifolds. 

2014

• 1. Toric Topology 2014 in Osaka, Jan. 21--24, 2014, Osaka City University, Japan.

     • Title: The cohomology ring of toric orbifolds with integer coefficients.

  2. 2014 KMS Spring Meeting, Apr 24--26, 2014, Gangneung-Wonju National Univ, Korea.

     • Title: The integral cohomology ring of toric orbifolds and weighted projective towers.

  3. Mini-workshop on toric topology, Aug. 4, 2014, Ajou University, Korea.

     • Title: The integral cohomology ring of weighted projective towers.

  4. ICM2014 Satellite Conference, Topology of Torus Actions and Applications to Geometry and Combinatorics, Aug. 7--11, 2014, Daejeon Convention Center, Korea.

     • Title: The integral cohomology ring of toric orbifolds and weighted projective towers.

  5. Toric Topology Student Workshop in Daejeon (Young researcher's seminar), Dec. 22--25, 2014, KAIST, Korea.

     • Title: Torsion freeness in the cohomology ring of quasitoric orbifolds.

2013

• 1. 2013 Korea Toric Topology Winter Workshop, Jan. 03 - 05. 2013. Kal Hotel in Jeju, Korea.

     • Title: M(J)-manifolds and its rigidity problem.

  2. Algebraic topology seminar, Feb. 14, 2013, Princeton university, USA.

     • Title: On the conservation of (equivariant) homeomorphism classes of M(J)-manifolds.