Shivam Arora
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Research

Research Articles Blog Collection
Publications
Invariant Physics-Informed Neural Networks for Ordinary Differential Equations
Invariant Physics-Informed Neural Networks for Ordinary Differential Equations
Shivam Arora, Alex Bihlo, Francis Valiquette
arxiv.org
Model-agnostic machine learning of conservation laws from data
Model-agnostic machine learning of conservation laws from data
Shivam Arora, Alex Bihlo, Rüdiger Brecht, Pavel Holba
arxiv.org
Topological groups with a compact open subgroup, Relative hyperbolicity and Coherence
Topological groups with a compact open subgroup, Relative hyperbolicity and Coherence
Shivam Arora, Eduardo Martinez-Pedroza
Journal of Algebra
arxiv.org
Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups
Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups
Shivam Arora, Ilaria Castellanoano, Ged Corob Cook, Eduardo Martinez Pedroza
Journal of Topology and Analysis
arxiv.org
Subgroups of word hyperbolic groups in rational dimension 2
Subgroups of word hyperbolic groups in rational dimension 2
Shivam Arora, Eduardo Martinez-Pedroza
Groups, Geometry, and Dynamics
arxiv.org
z-Classes in finite groups of conjugate type (n,1)
z-Classes in finite groups of conjugate type (n,1)
Shivam Arora, Krishnendu Gongopadhyay
Proceedings - Mathematical Sciences
arxiv.org
Fixed Point Sets in Diagrammatically Reducible Complexes
Fixed Point Sets in Diagrammatically Reducible Complexes
Shivam Arora, Eduardo Martinez-Pedroza
Submitted
arxiv.org
Projects
Phasics
Phasics
Phasics
phasics.notion.site
Phasics is a web based application assisting you to organize your kitchen inventory that reduces edible food being thrown out in waste.
Gesto AI
Gesto AI
gesto-ai-asl-word-recognizer.streamlit.app
Gesto AI is a real time American sign language translator.
To-do list
To-do list
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Postdoc

I am interested in mathematical foundations of artificial neural networks and applying them to solve scientific problems. I am interested in neural network with architecture that incorporates mathematical structure specific to the problem. Some of the examples of that are Physics-informed neural networks, group equivariant neural network, HNN, etc.

PhD Thesis

I completed my PhD thesis under the the supervision of Dr. Eduardo Martinez-Pedroza in the area of Geometric Group Theory. I worked at the intersection of Group Theory and Topology. Group theory is the mathematical abstraction to study symmetry and topology is study of spaces.
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