Publications
Published Papers
 Ye, F., & Pham, D. (2022). Symplectic Lie groups and Double Geometry. Acta Mathematica Universitatis Comenianae, 91(2), 161190.
 Ye, F., & Zhu, Z. (2020). On Fujita’s freeness conjecture in dimension 5. Advances in Mathematics, 371, 156.
 Ye, F., Zhang, T., & Zhu, Z. (2018). Sakai’s theorem for Qdivisors on surfaces and applications. Asian Journal of Mathematics 22(4), 761–786.
 Ye, F., & Zhu, Z. (2017). Global generation of adjoint line bundles on projective 5folds. Manuscripta Mathematica, 153(3), 545–562.
 Liu, P., Lu, J., & Ye, F. (2017). On lower bounds for slopes of totally ramified triple cover fibrations. Asian Journal of Mathematics, 21, 981–994.
 Amram, M., Cohen, M., Sun, H., Teicher, M., Ye, F., & Zarkh, A. (2015). Combinatorial symmetry of line arrangements and applications. Topology and Its Applications, 193, 226–247.
 Yau, S. S.T., & Ye, F. (2013). Several splitting criteria for vector bundles and reflexive sheaves. Pacific Journal of Mathematics, 266(2), 449–456.
 Amram, M., Teicher, M., & Ye, F. (2013). Moduli spaces of arrangements of 10 projective lines with quadruple points. Advances in Applied Mathematics, 51(3), 392–418.
 Ye, F. (2013). Classification of moduli spaces of arrangements of nine projective lines. Pacific Journal of Mathematics, 265(1), 243–256.
 Tan, S.L., Yau, S. S.T., & Ye, F. (2011). A note on the topology of the complements of fibertype line arrangements in \(\mathbb{CP}^2\). Pacific Journal of Mathematics, 251.
 Yau, S. S.T., & Ye, F. (2009). Diffeomorphic types of complements of nice point arrangements in \(\mathbb{CP}^l\). Science in China Series A: Mathematics, 52(12), 2774–2791.
Preprints

Pham, D. & Ye, F. (2023). Leftinvariant Hermitian connections on Lie groups with almost Hermitian structures Submitted.

Pham, D. & Ye, F. (2020). Left invariant complex structures on double Lie groups Submitted.

Amram, M., Cohen, M., Teicher, M., & Ye, F. (2013). Moduli spaces of tenline arrangements with double and triple points. ArXiv.
Research Notes
These notes were written for student seminar or selfstudy purpose and may contain typos and mistakes. Please feel free to email me about typos and mistakes.

Filtrations of Vector Bundles on Smooth Projective Algebraic Curves, 2010 Spring

Introduction to Invariant Theory and GIT, 2010 Spring

A Brief Introduction of Characteristic Varieties of Line Arrangements, 2011 Fall.

Geometry of CohenMacaulay Rings, 2012 Spring
Talks and Lectures

Introduction to \(\mathcal{D}\)modules, Commutative Algebra & Algebraic Geometry Seminar, CUNY Graduate Center, New York City, March 15, 2019.

Higher syzygies on Abelian Threefolds, Workshop on Complex Geometry, University of Hong Kong, Hong Kong, July 20, 2018.

Application of Multiplier Ideals to Geometry and Algebra of Adjoint Line Bundles, Dynamic System and Algebraic Geometry Workshop, Zhejiang University, Hangzhou, China, January 1, 2018

Multiplier Ideals and Applications to Adjoint Line Bundles, Commutative Algebra & Algebraic Geometry Seminar, CUNY Graduate Center, New York City, October 20, 2017.

A characterization of big Qdivisors on surfaces and its applications, Commutative Algebra & Algebraic Geometry Seminar, CUNY Graduate Center, New York City, March 3, 2017.

A nonvanishing theorem for big divisors on surfaces and its applications, Geometry Seminar, University of Hong Kong, Hong Kong, July 6, 2016.

On base point freeness of adjoint linear systems on projective 5folds, Math Department Colloquium, Jinan University, Guangzhou, July 1, 2016.

Okounkov bodies: introduction I & II, Study group on Toric and Spherical Varieties, CUNY Graduate Center, New York, April 4 and 11, 2016.

Fujita’s Freeness Conjecture on 5folds, Workshop on Complex Geometry, University of Hong Kong, Hong Kong, July 23, 2015.

Rational Curves on CPManifolds, Working Seminar on Several complex variables and Complex geometry, University of Hong Kong, March 27, 2015.

Mori Contractions on CPManifolds, Working Seminar on Several complex variables and Complex geometry, University of Hong Kong, February 9, 2015.

Mori’s Theorems on Rational Curves, Working Seminar on Several complex variables and Complex geometry, University of Hong Kong, January 5, 2015.

Rational Curves on Fano Manifolds with Nef Tangent bundles, Working Seminar on Several complex variables and Complex geometry, University of Hong Kong, February 2, 2015.

Effective Freeness of Adjoint Linear Systems on 5folds, Algebraic Geometry Seminar, East China Normal University, Shanghai, September 22, 2014

Classification of Arrangements of 10 Lines, Complex Geometry, National University of Singapore, Singapore, July 26, 2013

Global Generation of Adjoint Line Bundles, Young Mathematician Workshop on Arithmetic Algebraic Geometry, East China Normal University, Shanghai, July 9, 2013

Some Splitting Criteria for Vector Bundles and Reflexive Sheaves, The Hong Kong Mathematical Society Annual General Meeting 2013, Hong Kong, June 8, 2013

Mori’s existence theorem on rational curves, Working Seminar on Complex Geometry, the University of Hong Kong, Hong Kong, March 5, 2013

Hirzebruch’s Construction of Ball Quotient Surfaces, Working Seminar on Complex Geometry, the University of Hong Kong, Hong Kong, February 4, 2013

Effective Freeness of Adjoint Linear Systems, Mini Workshop on Complex Geometry, the University of Hong Kong, Hong Kong, January 10, 2013.

Irreducibility of Moduli Spaces of Arrangements of Lines, IMR Geometry Seminar, the University of Hong Kong, Hong Kong, July 24, 2012