Interdisciplinary mathematician - theorist by training. Ph.D.,UC Berkeley. Ph.D., UC Berkeley; postdoctoral researcher at the University of Vienna. Actively exploring career opportunities that combine growth, impact, and stability.
neumana53 [at] univie [dot] ac [dot] at; marsneuman [dot] work [dot] gmail
US citizen, currently.
Interests: (roughly) harmonic analysis (pure, applied, computational); graph-based learning; high dimensional probability; statistical optimal transport; information theory
--I'm currently exploring graph-based learning, spiking neural networks, agentic reasoning, wave packets, high dimensional geometry, and quantization. While my mathematical explorations are broad, they cluster around: analysis, probability, linear algebra, additive combinatorics, and some differential geometry/topology.--
Left: My talk at AI seminar - MacMaster U on contrastive learning
My paper exploring the theoretical foundation of contrastive learning on route to get accepted at Journal of Machine Learning Research
My paper exploring learning guarantees through metric embedding gets accepted at IEEE Transactions of Information Theory
A new paper on probing internal looped reasoning dynamics
My paper on spiking neural networks accepted at Journal of Machine Learning Research
A new paper on transductive learning guarantees and small random worlds
My summary of the convergence of discrete harmonic extensions based on the paper of Bou-Rabee and Gwyne *first version, before the extensive update*
My thoughts on the interplay between Hebbian learning and preferrential attachment
A publication with Information and Inference: A Journal of IMA (DOI: 10.1093/imaiai/iaaf007)
A new paper on practical existence theorem (PET) employing Slepian basis functions and deep learning (2025)
A new paper exploring learning with spiking neural networks (2024)
(Expecting soon)
A new paper on adaptive learning
A new paper on consistency of graph-based algorithms
A new paper on spiking neural networks
I will present a poster on probing internal looped reasoning dynamics at FOCM26
I will present at SIAM DS 26
I presented consistency of augmentation graph Laplacian and contrastive learning at SampTA 25
Philipp Petersen -- University of Vienna
Anastasis Kratsios -- McMaster University & Vector Institute
Simone Brugiapaglia -- Concordia University
Jason Bramburger -- Concordia University
Jeff Calder -- University of Minnesota
Chenghui Li -- University of Wisconsin-Madison
Shashank Sule -- University of Maryland
Giulia Livieri -- London School of Economics and Political Science
Nils Detering -- Heinrich Heine University Düsseldorf
Luca Galimberti -- King's College London
Azita Mayeli -- City University of New York
Arie Israel -- University of Texas-Austin
Kevin Hughes -- Edinburgh Napier University