Anthea Monod

I am a Reader (Associate Professor) in Mathematics and Machine Learning at the Department of Mathematics at Imperial College London
I am a Co-Director of the Erlangen AI Hub for Mathematical and Computational Foundations of Intelligence
I am a Member of the European Laboratory for Learning and Intelligent Systems – ELLIS Society

My research uses theory from pure mathematics (algebraic geometry and algebraic topology) to develop computational and statistical methods for data that have complex structures, or that live in complex spaces.
Research Interests:

Applied and Computational Topology including Topological Data Analysis
Applied Algebraic Geometry including Algebraic Statistics
Geometric Statistics and Geometric Deep Learning
Theoretical Machine Learning
Mathematical Biology

Contact: a [dot] monod [at] imperial [dot] ac [dot] uk
Office: Roderic Hill 318

£10 million to study the mathematics of AI:
I use pure mathematics (algebraic topology and algebraic geometry) to advance understanding of deep learning and modern AI technology. My research in this direction is supported by a £10M EPSRC Mathematical and Computational Foundations of Artificial Intelligence Hub [EP/Y028872/1], which I Co-Direct. You can read the press release about it here.

News & Upcoming Stuff

Our paper that proposes a Gaussian mixture model for bone marrow morphology based on signed distance persistent homology has been accepted to the Annals of Applied Statistics! Joint work with Qiquan Wang, Anna Song, Antoniana Batsivari, and Dominique Bonnet.
My PhD student Daniele Tramontano defended his PhD on 19 March 2026 entitled "Causal Inference in Non-Gaussian Models"! Huge congratulations, Daniele!
New preprint on the uniqueness of polytope Fréchet means! Joint work with Roan Talbut and Andrew McCormack.
Our paper that studies Fréchet means in tropical geometry and proposes a fully symbolic approach to their exact computation has been accepted to the Journal of Symbolic Computation! Joint work with Kamillo Ferry, Bo Lin, Carlos Améndola, and Rudy Yoshida.
New preprint where we use representation theory to identify a new bottleneck to GNNs' ability to distinguish non-isomorphic graphs that happens at the readout stage and solve it! Joint work with Mouad Talhi and Arne Wolf.
New preprint where we develop a framework for neural optimal transport on Riemannian manifolds! In particular, we identify a curse of dimensionality inherent to computational methods that rely on discretization and propose a way to bypass it. Joint work with Alessandro Micheli, Yueqi Cao, and Samir Bhatt.
Our paper "The Shape of Adversarial Influence: Characterizing LLM Latent Spaces with Persistent Homology" has been accepted to ICLR 2026 as an oral presentation! Joint work with Aideen Fay, Inés García-Redondo, Qiquan Wang, and Haim Dubossarsky.
I was elected as a Member of the ELLIS Society in recognition of my contributions to the mathematical foundations of AI!
My PhD students Inés García-Redondo and Qiquan Wang won the Best Student Paper Award at Geometric Science of Information (GSI'25) in St-Malo, France, this year for our paper "Confidence Bands for Multiparameter Persistence Landscapes"!
I am an editor for the newly launched Association for Mathematical Research (AMR) journal Applied & Computational Topology & Geometry (ACTG)!

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