Research

Contact

Future Projects

I welcome collaboration with anyone who would like to work with me on one (or more) of the following. These are only the projects for which I HAVE a clear research path in mind, with specific implementations, experiments, and analysis to do, I just didn’t have the time to implement them yet. Please get in touch with me even just to chat about them, or if you’re interested in collaborating.

  • Can RL learn Combinatorial Games? Reinforcement Learning (RL) is really good at games, but is possibly really bad at Graph Theory (although initial results were quite optimistic [1, 2]). Would RL be good at Combinatorial Games? I am particularly interested to explore this about games on graphs. In particular the Balance Game or some Maker Breaker games.
  • What can RL do in Graph Theory? There are some results that seem to indicate that RL is not good at Graph Theoretical problems [3, 4]. However, RL is clearly good at solving certain Graph-theoretical problems, and initial results were quite optimistic [1, 2]. What is the reason behind this variying behaviour?
  • Sparsity? Quantization? What about both? Two well-known memory-reduction methods in Neural Networks are Sparsity and Quantization. These two methods are not orthogonal. However I do believe that there is a way of improving the current SotA to produce a lighter version of NN using the interplay between the two. The literature in the area seems to go towards a natural direction that hasn’t been developed, in my opinion, to the fullest.
  • Let’s make EU healthier This is a project that has a wider breath and is not only linked to research. If you’re passionate about nutrition, hardcore computer science, and want to make a tangible impact, do get in touch.

Past and Present Projects

Title People Date Instit. Status
Methodology for carbon credit assessment A. Perrella, G. Marastoni, D.M. 2025+ LSE
Combinatorial Theorems P. Allen, J. Böttcher, D.M. 2025+ LSE
Partition universality for hypergraphs P. Allen, J. Böttcher, J. Lada, D.M. 2025+ LSE
Re-ILS: a metaheuristic approach for cardinality-constrained optimization Amazon ATS team 2024 Amazon
Reinforcement Learning, Collusion, and the Folk Theorem G. Ashkenazi-Golan, D.M., E. Plumb 2024 LSE
Dirac’s theorem for graphs of bounded bandwidth A.E. Díaz, P. Gupta, D.M., O. Parczyk, A. Sgueglia 2024 LSE
On product Schur triples in the integers L. Mattos, D.M., O. Parczyk 2023 LSE
Graphs with large minimum degree and no small odd cycles are 3-colourable J. Böttcher, N. Frankl, D. M., O. Parczyk, J. Skokan 2022 LSE
The Ramsey numbers of squares of paths and cycles Peter Allen, D.M., Barnaby Roberts, Jozef Skokan 2022 LSE
Density of small diameter subgraphs in \(K_r\)-free graphs Eng Keat Hng, D.M. 2021 LSE
Title Date Occasion Place
Product-free subsets of \([n]\) Oct ’23 LSE Seminar London
Partition Universality Aug ’23 Eurocomb Prague
The Ramsey numbers of \(P_{3n}^2\) and \(C_{3n}^2\) Sep ’23 DMV (Invited speaker) Ilmenau
Apr ’23 Invited seminar Prague
Jul ’22 ICGT Montpellier
Jul ’22 Invited seminar TU Hamburg
Chromatic profile of \(\{C_3,\dots{},C_{2k-1}\}\) Mar ’23 PCC Birmingham
Jul ’22 RSA Poznan
Jul ’22 ICGT Montpellier
Jul ’22 Invited seminar TU Hamburg
About the Pentagon Conjecture Nov ’20 LSE Seminar London
Minimal Ramsey Graphs for Ciclicity May ’19 ETHZ Mittagsseminar Zurich
Dimensione di Hausdorff del Moto Browniano May ’19 BSc Defense Pisa
What When Where Why
Graph-theoretical Tools in Statistics 2022 LSE Mini-internship
A discussion about the Pentagon Problem 2020 ETHZ MSc Thesis
Separator Theorems 2019 ETHZ Semester Paper
A Glimpse of Young’s Tableaux 2019 ETHZ Reading Course
On the Hausdorff Dimension of Brownian Motion 2018 Pisa Univ. BSc Thesis
What When Where Instit. Type Funded
DMV Oct ’23 Ilmenau Conference (invited) LSE
CPMC Sept ’23 Zagreb Workshop LSE
Eurocomb Aug ’23 Prague Conference LSE
EEML Jul ’23 Košice Summer School LSE
ALGA Jun ’23 Ragusa Conference CIVICA Grant
UCLW May ’23 London UCL Workshop
PSSC Apr ’23 Prague Charles Uni. Summer School Charles Uni.
PCC Mar ’23 Birmingham Conference LSE
Research Visit Aug ’22 Berlin FU Berlin Visit LMS Grant
RSA Aug ’22 Gniezno Conference LSE
Research visit Jul ’22 Prague Czech Academy of Science Visit Czech Academy of Science
PSSDM Jul ’22 Prague Charles Uni. Summer School Summer School
ICGT Jul ’22 Montpellier Conference LSE
Research visit May ’22 Hamburg TU Hamburg Visit TU Hamburg
  • Organiser
    • PCC (Main organiser), Apr 2023, University of London and BCC. (National conference for postgraduate students).
    • LSE PhD CGO Seminar (Main Organiser), 2022/23.
  • Grants and invitations
    • DMV Invited Speaker. Ilmenau. 2023.
    • LMS Computer Science Small Grant (700£). London Mathematical Society. Funded visit to Berlin. 2022.
    • LSE Contribution Award. Dept of Mathematics. LSE. 2021.