Education

PhD

01/10/2018-Present | London - United Kingdom Imperial College

• Part of joint PhD program at UCL, King’s College and Imperial College funded by the EPSRC
• Working under the supervision of Professor Paolo Cascini
• Research focused on birational geometry in novel settings in particular mixed and positive characteristics
• Published three papers based upon independent research on the Minimal Model Program and associated boundedness conjectures
• Published a fourth paper as part of an ongoing collaboration with researchers from the University of Utah and the National Centre for Theoretical Sciences

MMath

01/10/2014 - 30/06/2018 | Oxford - United Kingdom Jesus College, Oxford University

• Grade: First (90%)
• Took core courses in analysis, calculus, probability and algebra in the first two years.
• Focused on pure topics in year three, specifically functional analysis, topology, algebra and number theory.
• Specialised to algebra and its applications to topology and geometry in the final year.
• Dissertation: The Classification of Algebraic Surfaces
• Won a Gibbs Prize for best overall mark in Part C (4th year) Final Honour School Examinations

Online Courses

2021 Data Scientist Nanodegree Udacity

• Intermediate course on data science in Python
• Several open ended projects, code and writeups available on my Github page

2020 Data Scientist with Python Data Camp

• Introductory course on data science in Python
• Focused on Pandas, Seaborn and Sklearn

Work Experience

01/10/2020-Present | London - United Kingdom Treasury Committee Member Notting Hill Genesis

• Represent the interests and needs of NHG residents and work to ensure they are appropriately considered during the decision making process
• Plan and facilitate the long term financing of the association, in particular making decisions around the issuance of debt - both secured facilities and long term bonds
• Handle broader financial concerns e.g. NHG pension arrangements

01/07/2017-14/09/2017 | Ipswich - United Kingdom Research Intern British Telecom

• Focused on the precoding problem - altering cable signals to account for crosstalk between bundled wires
• Developed novel methods of my own as well as improving upon implementation of existing methods
• Conducted primarily in MATLAB
• Published the paper “Spatially adaptive linear precoding for systems beyond G.Fast”
• Secured the patent “Method and Apparatus for Transmitting Data in a Communication System”
• Work was standardised for use in G.(mg)fast by the International Telecommunication Union

14/07/2017-31/08/2017 | Oxford - United Kingdom Summer Research Student Oxford University

• Undertook a summer research project in Hilbert Spaces, funded by a grant from the EPSRC
• Worked closely with several others, developing strong communication and team-working Skills
• Published “Non-optimality of the Greedy Algorithm for subspace orderings in the method of alternating projections” with several other students

Awards

18/11/2021 Second Place in Ready Trader Go Optiver

• Placed second out of over 350 teams in Optiver’s Europe-wide algorithmic trading competition

11/10/2018 Gibbs Mathematics Prize Oxford University

• Prize for best overall mark in Part C (4th year) Final Honour School Examinations

19/07/2018 Davies Prize Jesus College

• College prize for most outstanding undergraduate performance

15/3/2018 Top Writer Quora

• In recognition of highly valued contributions to Quora

10/3/2018 Oxford Blue Oxford University Blues Committee

• Award for sporting excellence - specifically achieving Top 50 in Senior National Rankings and representing Oxford at the Varsity Match

Publications

Papers

2021 Bernasconi, Brivio, Stigant- Abundance Theorem for Threefolds in Mixed Characteristic

• Shows the Abundance conjecture holds for suitable arithmetic threefolds
• Gives an Invariance of Plurigenera result for mixed characteristic families of surfaces, as an application of Abundance

2021 Stigant, Liam - Mori Fibrations in Mixed Characteristic

• Submitted to Manuscripta Mathematica
• Resolves several outstanding questions regarding the Minimal Model Program for klt threefolds in mixed characteristic.
• Namely termination for pairs which are not pseudo-effective, finiteness of minimal models and the Sarkisov Program.

2021 Stigant, Liam - The Augmented Base Locus in Mixed Characteristic

• Submitted to Manuscripta Mathematica
• Extends a famous result of Nakayame, that certain important geometric conditions correspond to numerical positivity conditions.

2020 Stigant, Liam - On the Boundedness of Globally F-split Varieties

• Submitted to Mathematische Zeitschrift
• Establishes some boundedness results for a special class of varieties satisfying certain algebraic curvature conditions
• Such results are the subject of several important conjectures in birational geometry

2018 Stigant, Liam, et al - Spatially adaptive linear precoding for systems beyond G.Fast

• 2018 IEEE Global Communications Conference (GLOBECOM). IEEE, 2018
• Introduces a novel method for dealing with cable crosstalk on copper wires
• Compares the performance to existing methods

2017 Darwin, Oscar, et al - Non-optimality of the Greedy Algorithm for subspace orderings in the method of alternating projections

• Results in Mathematics 72.1 (2017): 979-990
• Shows that the optimal orderings of alternating projections problem is equivalent in general to Travelling Salesman Problem
• Shows that speed of convergence cannot be bounded below by any function of the pairwise angles

Patents

2018 Stigant, Liam , et al. Method and Apparatus for Transmitting Data in a Communication System

• Iterative method for vectored precoding of data to compensate for channel cross-talk
• Identifies and restricts poor performing lines, then boosts signals through creative cross-talk from unused lines