Preprints:
[1] p-DG cyclotomic nilHecke algebras, joint with Mikhail Khovanov and Joshua Sussan, 2017, arXiv:1711.07159.
[2] A categorification of cyclotomic integers, joint with Robert Laugwitz, 2018, arXiv:1804.01478.
[3] p-DG cyclotomic nilHecke algebras II, joint with Joshua Sussan, 2018, arXiv:1811.04372.
[4] Remarks on the derived center of small quantum groups, joint with Anna Lachowska, 2019, arXiv:1912.08783.
[5] Categorifying Hecke algebras at prime roots of unity, part I, joint with Ben Elias, 2020, arXiv:2005.03128.
[6] Evaluating thin flat surfaces, joint with Mikhail Khovanov and Lev Rozansky, 2020, arXiv:2009.01384.
[7] On some p-differential graded link homologies, joint with Joshua Sussan, 2020, arXiv:2009.06498.
Work in progress:
[1] On some p-differential graded link homologies, part II, joint with Joshua Sussan, in preparation.
[2] Categorifying Hecke algebras at prime roots of unity, part II, joint with Ben Elias , in preparation.
[3] Hopfological quotients of hopfological categories, in preparation.
MPhil Thesis:
This is a printer-friendly version of my MPhil Thesis, written under the guidance of Professor Guowu Meng at Hong Kong University of Science and Technology. DOI: 10.14711/thesis-b1023323.
PhD Thesis:
This is an updated version of my PhD Thesis, supervised by Professor Mikhail Khovanov at Columbia University. DOI:10.7916/D8G73M28. A shortened version of the work is published as [1] in Compos. Math. All comments are welcome!
Some Talks:
[1] On Grothendieck-Riemann-Roch, handwritten notes for a talk given at a summer graduate student seminar organized by A. Johan de Jong and me on this theorem, 2009.
[2] On Mukai's derived equivalences of abelian varieties, handwritten notes for a talk given at A. Johan de Jong's graduate student seminar on classical litterature in algebraic geometry, Apr, 2010.
[3] On matrix factorizations and hypersurface singularities, handwritten notes for a talk given at A. Johan de Jong's graduate student seminar on derived categories, Mar, 2011.
[4] On generic Picard numbers of surfaces, handwritten notes for a talk given at A. Johan de Jong's graduate student seminar on Hodge theory, Nov, 2011.
[5] Two talks on categorification of small quantum groups, handwritten notes for two talks given at USC, Sept, 2012.
[6] A talk on categorification of small quantum groups given at Yale, Sept, 2012.
[7] A talk on categorification of small quantum groups given at MIT, Oct, 2012.
[8] A talk on categorification of small quantum groups given at SUNY Buffalo, Nov, 2012.
[9] A talk on categorification of small quantum groups in the conference "Hecke algebras in number theory and categorification", May, 2013.
[10] A talk on categorification of small quantum groups given at UC Davis, Mar, 2014.
[11] A talk on categorification of small quantum groups given at HKUST, Mar, 2014. Handwritten notes.
[12] A talk on categorification of small quantum sl(2) given at CRM, a workshop on "Categorification and geometric representation theory" June, 2014. Handwritten notes.
[13] A talk on categorification of small quantum groups given at the CBMS conference at North Carolina State University, July, 2014.
[14] A talk on categorification of small quantum groups given at the representation theory seminar at CUNY graduate center, Sept., 2014.
[15] A talk on "A New Year's Resolution", Spring Eastern AMS Sectional Meeting at Georgetown University, Mar., 2015.
[16] A talk on categorification of small quantum groups given at the algebra seminar at University of Oregon, Mar., 2015.
[17] A talk on "A New Year's Resolution", Joint Meeting of AMS-EMS-SPM, Porto, Portugal, Jun., 2015.
[18] A talk on categorification of small quantum groups, Colloquium, CUNY Medgar Evers College, Oct., 2015.
[19] Five lectures on categorification at prime roots of unity, IMPJ, Paris, France, Nov., 2015. Some hand written notes are available here.
[20] A talk on categorification at prime roots of unity, a conference on "Geometric and Categorical Representation Theory", Mooloolaba, Australia, Dec., 2015.
[21] Two talks on categorification at prime roots of unity, Kyoto University and RIMS, Kyoto, Japan, Feb., 2016.
[22] A talk on the center of small quantum groups, Yau Mathematical Sciences Center, Tsinghua University, Sanya, China, Mar., 2016. Hand written notes are available here.
[23] A talk on categorification of small quantum sl(2), Informal Mathematical Physics Semniar, Columbia, Apr., 2016.
[24] Three lectures on categorification at prime roots of unity, Workshop: Categorification, Mathematical Institute, University of Bonn, Germany, May 2016. Some hand written notes are available here.
[25] A talk on the center of small quantum groups, Geometric Methods in Representation Theory Seminar, University of North Carolina, Chapel Hill, Sep. 2016.
[26] A talk on the center of small quantum groups, Algebra Seminar, University of Virginia, Sep. 2016.
[27] A talk on Categorification at prime roots of unity, Hausdorff Institute, University of Bonn, Dec. 2016.
[28] A colloquium talk on categorification at prime roots of unity at Hong Kong University of Science and Technology, Jan. 2017.
[29] A colloquium talk on categorification at prime roots of unity at UC Santa Cruz, Feb. 2017.
[30] A talk on categorification at prime roots of unity at the Lie Groups/Quantum Math Seminar Rutgers, Mar. 2017.
[31] A talk on categorification at prime roots of unity at "Perspectives of Mathematics in the 21st Century," a Conference in Celebration of the 90th Anniversary of Mathematics Disciplines of Tsinghua University", Tsinghua, Beijing Apr. 2017.
[32] A talk on categorification at prime roots of unity at Guanghua Forum, Fudan University, Shanghai, Dec. 2017.
[33] A talk on the center of small quantum groups, Winter Young Algebraic Geometer Workshop, Southern University of Science and Technology, Shenzhen, Dec. 2017.
[34] A talk on the center of small quantum groups, Lie Theory Seminar, UC Riverside, Apr. 2018.
[35] A talk on the center of small quantum groups, Colloquium, CUNY Medgar Evers College, May, 2018.
[36] A talk on categorification of cyclotomic rings, Categorification and Higher Representation Theory Conference, Mittag-Leffler Institute, Stockholm, Sweden, Jul., 2018.
[37] Two lectures on categorification at prime roots of unity, Summer School and Workshop on Categorification of Quantum Three-Manifold Invariants, University of Southern California, Jul., 2018. Handwritten notes.
[38] A talk on a tensor product categorification at prime roots of unity, Yau Mathematical Sciences Center, Tsinghua University, Sanya, China, Oct., 2018.
[39] A mini-course on categorification at prime roots of unity, QUACKS conference (Quantum groups, Categorification, Knot invariants, and Soergel bimodules), online meeting due to Covid19, information (lecture videos and notes) available here . Aug., 2020.