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Junliang Shen

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About me:

I am a Ph.D student (Sep 2013- Aug 2018) at Departement Mathematik, ETH Zurich. My advisor is Rahul Pandharipande. I work on algebraic geometry. In fall 2018, I will move to MIT as a Moore instructor.



Preprints:


1.Rational curves in the Fano varieties of cubic 4-folds and Gromov-Witten invariants, (joint with G. Oberdieck and Q. Yin ) ArXiv 1805.07001


2.K3 categories, one-cycles on cubic fourfolds, and the Beauville-Voisin filtration, (joint with Q. Yin ) ArXiv 1712.07170


3.Derived categories of K3 surfaces, O'Grady's filtration, and zero-cycles on holomorphic symplectic varieties, (joint with Q. Yin and X. Zhao ) ArXiv 1705.06953


4.Motivic classes of generalized Kummer schemes via relative power structures, (joint with A. Morrison) ArXiv 1505.02989


Pubublications:


5.Reduced Donaldson-Thomas invariants and the ring of dual numbers, (joint with G. Oberdieck) to appear in Proc. Lond. Math. Soc. ArXiv 1612.03102


6.Curve counting on elliptic Calabi-Yau 3-folds via derived categories, (joint with G. Oberdieck), to appear in J. Eur. Math. Soc. ArXiv 1608.07073


7.On O'Grady's generalized Franchetta conjecture, (joint with N. Pavic and Q. Yin), Int. Math. Res. Not. (2017), Issue 16, 4971-4983, ArXiv 1604.02939


8.The Euler characteristics of generalized Kummer schemes, Math. Z. 281 (2015), no. 3-4,1183-1189. ArXiv 1502.03973


9.Cobordism invariants of the moduli space of stable pairs, J. Lond. Math. Soc (2) 94 (2016), no.2, 427-446. ArXiv 1409.4576



Invited research talks:


* Sep.2018. Workshop on moduli spaces and related problems, SCMS, Fudan University.

* Aug.2018. Workshop on higher genus Gromov-Witten invariants, Zhejiang University.

* July.2018. Modern algebraic geometry, BICMR.


* 19.06.2018. Warwick algebraic geometry seminar, University of Warwick.

Special subvarieties in holomorphic symplectic varieties.

* 16.05.2018. Arithmetic and algebraic geometry seminar, University of Amsterdam:

Special subvarieties in holomorphic symplectic varieties.

* 23.02.2018. Algebraic geometry and moduli seminar, ETH Zurich:

K3 categories, cubic 4-folds, and the Beauville-Voisin filtration.

* 09.02.2018. Algebraic geometry seminar, Stanford University:

K3 categories, cubic 4-folds, and the Beauville-Voisin Conjecture.

* 29.01.2018. Algebra and geometry seminar, Caltech:

K3 categories, cubic 4-folds, and Beauville-Voisin Conjecture.


* 30.11.2017. Seminar Algebraic Geometry (SAG), MPI Bonn:

K3 categories, cubic 4-folds, and Beauville-Voisin Conjecture.

* 11.08.2017. algebraic geometry seminar, BICMR:

K3 categories, O'Grady's filtration, and cubic fourfolds.

* 31.07.2017. SCMS Seminar, Fudan University:

New calculations in curve counting theory for Calabi-Yau 3-folds.

* 17.05.2017. Algebraic geometry and moduli seminar, ETH Zurich:

Derived categories of K3 surfaces, O'Grady's filtration, and Hyperkaehler varieties.

* 10.02.2017. Workshop - Moduli of curves, sheaves, and K3 surfaces, Humboldt-Universitat zu Berlin:

Modularity in curve counting theory for elliptic Calabi-Yau 3-folds.


* Dec 27 and 30, 2016. SCMS Seminar, Fudan University:

Curve counting on elliptic Calabi-Yau 3-folds and Jacobi forms.

* 17.12.2016. Beijing algebraic geometry colloquium, BICMR:

Elliptic Calabi-Yau 3-folds, Jacobi forms, and derived categories.

* 29.11.2016. Seminar on "Hodge structures and rationality problems", UZH:

The generalized Franchetta conjecture for K3 surfaces.

* Oct-Nov 2016. Algebraic geometry and moduli seminar, ETH Zurich:

Minicourse on "curve counting invariants and derived categories".

* 04.10.2016. Algebraic geometry seminar, Princeton University:

Elliptic Calabi-Yau 3-folds, Jacobi forms, and derived categories.

* 27.09.2016. Harvard/MIT algebraic geometry seminar, Harvard University:

Elliptic Calabi-Yau 3-folds, Jacobi forms, and derived categories.

* 15.08.2016. Advanced school and workshop on moduli spaces, mirror symmetry and enumerative geometry, ICTP, Trieste:

Topological and motivic invariants for generalized Kummer schemes.

* 24.06.2016. Workshop - Curves on surfaces and 3-folds, CIB-EPFL:

Algebraic cobordism and enumerative geometry of 3-folds.

* 18.01.2016. Seminar on Arithmetic Geometry, Universitat Duisburg-Essen:

Enumerative geometry of 3-folds and algebraic cobordism.


* 27.05.2015. Algebraic geometry and moduli seminar, ETH Zurich:

Motivic classes of generalized Kummer schemes via relative power structures.

* 06.02.2015. Workshop on Motivic invariants related to K3 and abelian geometries, Humboldt-Universitat zu Berlin:

Euler characteristics and DT invariants in degree 0 for abelian varieties.


* 19.11.2014. Algebraic geometry and moduli seminar, ETH Zurich:

Virtual cobordism classes and Chern numbers.

* 19.09.2014. End of summer meeting in mathematical physics 2014, ETH Zurich:

Cobordism invariants of the moduli space of stable pairs.

A Photo by Thiam-Sun Pang at Freiburg

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