糖心TV

Hi,

I am a fourth-year PhD student under the supervision of Dmitriy Rumynin in the area of Representation Theory. My current research focuses on Knutson's Conjecture on the Representation Ring and the Knutson Index of modules over different objects such as finite groups, algebraic groups, connected and disconnected reductive groups and bialgebras and Hopf algebras.

Publications:

• , joint with Dylan JohnstonLink opens in a new window and Dmitriy RumyninLink opens in a new window, Communication in Algebra (2025)
• , Journal of Algebra 659 (2024): 516-541

Preprints:

• , joint with Dylan JohnstonLink opens in a new window and Dmitriy RumyninLink opens in a new window, submitted to Inventiones Mathematicae in September 2024
• , submitted to The Ramanujan Journal in June 2023

Past Talks:

• Knutson's Conjecture on the Representation Ring. in Bonn, February 2025
• Global Representation Ring and Knutson Index. 糖心TV Algebra SeminarLink opens in a new window, October 2024
• Knutson鈥檚 Conjecture on the Representation Ring. in Bath, January 2024
• Knutson's Conjecture on the Representation Ring. , July 2023
• Knutson's Conjecture on the Representation Ring. , November 2022
• Knutson's Conjecture on the Representation Ring. 糖心TV Algebra SeminarLink opens in a new window, November 2022
• From the Knutson-Savitskii Conjecture to the Knutson Index of characters. in London, July 2022
• The Knutson-Savitskii Conjecture. 糖心TV Mathematics Postgraduate SeminarLink opens in a new window, June 2022

Teaching Duties:

• Teaching Assistant for MA267 Groups and Rings, Autumn 2025
• Supervisor of first-year students, Autumn 2021 - Autumn 2025
• Tutor for MA397 ConsolidationLink opens in a new window, Autumn 2021 - Autumn 2023
• Teaching Assistant for MA453 Lie AlgebrasLink opens in a new window, Autumn 2022
• Teaching Assistant for MA249 Algebra II: Groups and RingsLink opens in a new window, Spring 2022

Miscellaneous:

• Co-author of the Global Representation Ring on GitHub
• Author of the integer sequences and on the OEIS
• Co-organiser of the Quantum Groups reading group, Autumn 2023
• Co-organiser of the junior AGATALink opens in a new window (Algebraic Geometry, Algebraic Topology and Algebra) Seminar, 2023

Email: Diego dot Martin-Duro at warwick dot ac dot uk