Postdoctoral Researcher · Mathematics

Nathan
Mankovich

PhD in mathematics, currently a Postdoctoral Researcher in the Image Processing Laboratory at the University of Valencia under Gustau Camps-Valls. Research focuses on dynamic mode decomposition, flag manifolds for modern data analysis, and dimensionality reduction — with applications to climate modeling and machine learning.

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Nathan Mankovich
Flag Manifolds & Stiefel Geometry Dynamic Mode Decomposition Dimensionality Reduction Climate Data Analysis Computer Vision
Image Processing Laboratory
University of Valencia, Spain
Advisor: Gustau Camps-Valls
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Publications

A Flag Decomposition for Hierarchical Datasets
CVPR 2025
A Flag Decomposition for Hierarchical Datasets
Nathan Mankovich, Ignacio Santamaria, Gustau Camps-Valls, Tolga Birdal
→ GitHub
Analyzing Climate Scenarios using DMDc
EDS 2025
Analyzing Climate Scenarios using DMD with Control
Nathan Mankovich, Shahine Bouabid, Peer Nowak, Deborah Bassotto, Gustau Camps-Valls
→ GitHub
Featurizing Koopman Mode Decomposition
J. Chemical Physics 2024
Featurizing Koopman Mode Decomposition for Robust Forecasting
David Aristoff, Jeremy Copperman, Nathan Mankovich, Alexander Davies
Chordal Averaging on Flag Manifolds
ICCV 2023 / 2024
Chordal Averaging on Flag Manifolds and Its Applications
Nathan Mankovich, Tolga Birdal
→ GitHub
Fun with Flags
CVPR 2024
Fun with Flags: Robust Principal Directions via Flag Manifolds
Nathan Mankovich, Gustau Camps-Valls, Tolga Birdal
→ GitHub
The Flag Median and FlagIRLS
CVPR 2022
The Flag Median and FlagIRLS
Nathan Mankovich, Emily King, Chris Peterson, Michal Kirby
→ GitHub
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Selected Preprints

2024 Improving Generalisation via Anchor Multivariate Analysis — Homer Durand, Gherardo Varando, Nathan Mankovich, Gustau Camps-Valls. arXiv
2024 Optimal codes in the Stiefel manifold — John Jasper, Nathan Mankovich, Dustin Mixon. arXiv
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Selected Talks

EGU · Remote · 2025 Physics-aware Koopman Operator Estimation for Consistent Nonlinear Mode Decomposition
XAIDA Webinar · Remote · 2024 Dynamic Mode Decomposition With Control for Climate Analyses
ICERM · Providence · 2024 Stiefel Packings for Coherent Communications
EGU · Vienna · 2024 Analyzing Climate Scenarios Using DMD With Control
U. Cantabria · Santander · 2024 Fun With Flags: Robust Averages and Principal Directions [slides]
JMM · San Francisco · 2024 Averaging and Dimensionality Reduction using Flag Manifolds
ICCV · Paris · 2023 Chordal Averaging on the Flag Manifold and Its Applications
Learning on Graphs · Madrid · 2023 Graph-Based Dimensionality Reduction and Clustering in Earth and Life Sciences
Imperial College London · 2023 Chordal Distance Averages on Grassmann and Flag Manifolds (Invited Talk)
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Teaching

Mini challenge on climate emulation
Spring 2026 · National Technical University of Athens
Dimensionality Reduction

Fall 2025 · National Technical University of Athens
Spring 2026, Fall 2023, Spring 2025 · University of Valencia
Ordinary Differential Equations (MATH 340)
Fall 2020 · Colorado State University
Calculus 2 (MATH 161)
Spring 2020 · Colorado State University
Calculus 1 (MATH 160)
Fall 2017, Spring 2018, Fall 2018, Fall 2019 · Colorado State University
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Conferences & Visits

Upcoming

AI4PEX Phenology Hackathon
Jena, Germany
Sept 7-11
2026

Past

European Geosciences Union General Assembly
Vienna, Austria
May 3–8
2026
Winter School on AI for Earth Hazards & Climate Extremes
Athens, Greece · Mini challenge on climate emulation
Mar 16–20
2026
Training Week · National Technical University of Athens
Athens, Greece · Mini-course on Dimensionality Reduction
Oct 2025
Visit to Universidad de Cantabria
Santander, Spain · Stiefel & flag manifolds collaboration
Sept 2025
CVPR
Nashville, USA · Flag decomposition for hierarchical datasets
June 2025
USMILE Workshop
Oetztal, Austria
Mar 2025
AI4CS Workshop
Valencia, Spain · Flag representation for hierarchical datasets
Jan 2024
ECCV
Milan, Italy · FlagRep workshop
Sept 2024
CVPR
Seattle, USA · Fun with Flags: robust principal directions
June 2024
EGU General Assembly
Vienna, Austria · Machine Learning for Climate Science
Apr 2024
Joint Mathematics Meetings
San Francisco, USA · Mathematics of Computer Vision
Jan 2024
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Contact

Let's collaborate — I'm always open to discussing research in manifold geometry, climate science, and machine learning.

Download CV (PDF)
GitHub github.com/nmank LinkedIn Nathan Mankovich Lab Image Processing Lab, U. Valencia