# Bach Le Tran

## (Trần Lê Bách)

- e: s1425307(at)sms(dot)ed(dot)ac(dot)uk
- w: http://www.maths.ed.ac.uk/~s1425307/
- a: 4604 James Clerk Maxwell Building

The King's Buildings

Peter Guthrie Tait Road

EDINBURGH

EH9 3FD

Scotland, UK

- e: s1425307(at)sms(dot)ed(dot)ac(dot)uk
- w: http://www.maths.ed.ac.uk/~s1425307/
- a: 4604 James Clerk Maxwell Building

The King's Buildings

Peter Guthrie Tait Road

EDINBURGH

EH9 3FD

Scotland, UK

I am working on toric varieties, particularly on Eisenbud-Goto-type problems and spending most of my time now on finding bounds for the $k$-normality and Castelnuovo-Mumford regularity of projective toric varieties. I am also interested in the syzygies of toric varieties, specifically $N_p$-property of (adjoint) line bundles on toric varieties. During my free time, I also think about the Oda's conjecture saying that every smooth lattice polytope is normal, but that is a long shot. My supervisor is Milena Hering. For more details, please take a look at my Research Statement. I am currently in the job market for a post-doc position.

September 2014 - Present

I have been working as a tutor for some undergraduate courses at the University of Edinburgh. Some of the courses are Introduction to Linear Algebra, Calculus and Application, Proof and Problem Solving, Honour Algebra, Introduction to Number Theory.

- $\LaTeX$
- Macaulay2
- Magma
- C
- Python

- On $k$-normality and Regularity of Normal Toric Varieties (2017) (arXiv)
- The Eisenbud-Goto Conjecture for Weighted Projective Toric Fano Varieties (in preparation)
- A Reider-type Theorem for Smooth Projective Toric Surfaces (in preparation)

- Edinburgh Geometry Seminar, 2015-2017
- British Algebraic Geometry Meeting, 2015-2017
- Summer school: Cones and positivity, 2015
- Workshop Minimal free resolutions, Betti numbers, and combinatorics, 2015
- Macaulay2 Workshop, 2016
- Combinatorial Algebraic Geometry: Introductory Workshop, Apprenticeship Weeks, and Convexity Workshop, 2016
- Positivity in Algebraic And Complex Geometry, 2017
- GLEN Algebraic Geometry Seminar, Manchester , 2017
- Interactions with Lattice Polytopes, Magdeburgh, 2017
- Tropical Geometry, Amoebas and Polytopes, Stockholm, 2018

- A combinatorial bound for $k$-normality of very ample lattice polytopes, Ph.D. Talk
Interactions with Lattice Polytopes, Magdeburgh, September 2017

- On $k$-normality and Regularity of Normal Toric Varieties
Toric Varieties Seminar, Loughborough, November 2017

- On $k$-normality and Regularity of Normal Toric Varieties
EDGE Seminar, Edinburgh, December 2017

Bachelor of Science, Mathematics

Master of Advanced Studies (Part III of the Tripod)

Doctorate Candidate in Mathematics

I'm quite keen on table tennis and have played for the first team of the University for pass few years. I also play classical guitar. Here is a clip of me playing a Vietnamese folk song, arranged for classical guitar by Đặng Ngọc Long