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Preprint The gold partition conjecture and the Lexicographic sum of posets accepted at the journal Order. If a finite poset Q satisfies the Gold Partition Conjecture, and P is a finite poset, then for any i in P the lexicographic sum of P with Q on the point i, satisfies the Gold Partition Conjecture.
2026
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Preprint CheMLFlow: An Open-Source Platform for Cheminformatics and Materials Informatics Applications We propose a ML pipeline compatible with agentic coding. This project is a step towards reducing the reproducibility problem in science and reducing problems with the use of AI agents.
2026
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Coauthor of the Jupyter Book Quantum computing and quantum information A hands-on, continuously updated live book on quantum computing (theory, code, animations and exercises) covering foundations, algorithms, quantum information, error correction and materials.
2026
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Preprint PCA-Enhanced Adaptive NVAR Framework for High-Resolution Sea Surface Temperature Forecasting in the East Sea We modify our Adaptive NVAR to forecast Sea Surface Temperature.
2026
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Speaker at International Conference for the 80th Anniversary of the Korean Mathematical Society. Special Session Math, AI, and Scientific Method "Don’t just cite, verify: Lessons from the crisis in graph learning" Seoul, South Korea.
2026
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Speaker at International Conference for the 80th Anniversary of the Korean Mathematical Society. Contributed talk in Discrete mathematics "Branching and the logic of combinatorial reciprocity" Seoul, South Korea.
2026
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Are you a mathematician interested in data analysis? Or a data scientist willing to go deeper than the model?
We invite students from universities around the world to join the Amigo 친구 global games 2026.
You will face 3 problems at the intersection of mathematics and data science.
You will have 72 hours to solve them.
No hints.
No shortcuts.
Only insight, creativity, and precision.
2026
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The paper Operad of Posets 101: The Wixarika Posets (publisher link) (arxiv link) was published in Special Issue on Pakistani Nobel Laureate Prof. Abdus Salam, Journal of Prime Research in Mathematics. This is an expository paper.
2026
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I am coauthor of Topological Deep Learning Challenge 2025: Expanding the Data Landscape. My participation on the challenge consisted on designing a new dataset loader in TopoBench for the dataset WS1000_gamma, defined in "Revisiting the necessity of graph learning and common graph benchmarks". The dataset is quite important, as the aforementioned paper's example that for some graph datasets, the features may already include topological information, therefore a nn trained on the features can compete with a graph nn.
2026
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Minicourse "An introduction to combinatorial species" Abdus Salam School of Mathematical Sciences, Lahore, Pakistan.
2025
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Speaker at Abdus Salam International Conference on Mathematical Sciences and Emerging Technologies AS-ICMSET-2025. "The multiverse of order theory" Abdus Salam School of Mathematical Sciences, Lahore, Pakistan.
2025
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Lighting talk at Workshop on Geometry Topology and Machine Learning 2025. "Order theory in the context of machine learning"
Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany.
2025
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Preprint Adaptive Nonlinear Vector Autoregression: Robust Forecasting for Noisy Chaotic Time Series We create a neural network (based on NVAR) to estimate time series from caotic dynamical systems with noise.
2025
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The paper Shuffle series (publisher link) (arxiv link) was published in Journal of Algebraic Combinatorics. The talk "One third of poset combinatorics was missing" is based on the second chapter of this paper.
2025
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One of my talks appears on Wolfram University's webinar Wolfram Technologies for Mathematics Research and Teaching
2025
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Organizer of the seminar Tropical Mathematics and Machine Learning.
2025
