Welcome to Kelly Maggs' PERSONAL WEBSITE!

Welcome to my beloved website. I am a PhD student in Kathryn Hess' lab at EPFL currently a postdoc in Heather Harrington's group at MPI-CBG. I hope that you, dear reader, will enjoy and treasure your time here as much as I do. I look forward to hearing from you at kelly.maggs@epfl.ch maggs@mpi-cbg.de where I await your message with great anticipation. 

My research interests in order of descending purity are:

1. Rational homotopy theory and model categories

2. Persistence, TDA and discrete Morse theory

3. Geometric DEEP LEARNING (the bold part should be yelled in Silicon-Valley English)

4. Single cell RNA sequencing.

My ongoing projects and research goals are:

1. The spatial realization of TDA structure theorems and development of homotopy coherent persistent algebra.

2. Minimal cell decompositions in model categories.

3. The replacement of all message-passing architectures with neural k-forms.

4. Topological decompositions of the transcriptomic phase space.

My favourite mathematical constructions are:

1. The long line -- it's just like the real line, but longer! 

2. The parabolic arc of this 2017 Dustin Martin 80 meter torpedo out of the backline

3. The mythical field with 1 element (controversial)

4. The classification of adjunctions between simplicial sets in a category via Kan extension along cosimplicial objects in that category.

5. Any example of Eckmann-Hilton duality.

Online talks:

• May, 2024: Applied Algebraic Topology Research Network, Online Seminar, Cohomology Classes in the RNA Transcriptome. Available here. 

• September, 2022: Workshop Topology of Data, Rome. Morse theoretic signal compression and reconstruction on chain complexes. Available here.

Future presentations:

Articles and pre-prints:

• 2024: Cohomology classes in the RNA transcriptome. K. Maggs, M. Youssef, T. Nguyen. In preparation.

• 2024: Cell Decompositions of Persistent Minimal Models. K. Hess, S. Lavenir, K. Maggs. Preprint available at https://arxiv.org/abs/2312.08326.

• 2023: Simplicial Representation Learning with Neural k-forms. K. Maggs, C. Hacker and B. Rieck. The Twelfth International Conference on Learning Representations, https://openreview.net/forum?id=Djw0XhjHZb.

• 2022: Morse Theoretic Signal Compression and Reconstruction on Chain Complexes. S. Ebli, C. Hacker, K. Maggs, J Appl. and Comput. Topology (2024). https://doi.org/10.1007/s41468-024-00191-8.

• 2022: Epithelial-mesenchymal plasticity determines estrogen receptor-positive breast cancer dormancy and epithelial reconversion drives recurrence. P. Aouad, Y. Zhang, F. De Martino, C. Stibolt, S. Ali, G. Ambrosini, S. A. Mani, K. Maggs, H. M. Quinn, G. Sflomos, C. Brisken, Nat Commun 13, 4975, https://doi.org/10.1038/s41467-022-32523-6.

• 2022: The Persistent Homology of Dual Digital Image Constructions. B. Bleile, A. Garin, T. Heiss, K. Maggs, V. Robins, Research in Computational Topology 2, Association for Women in Mathematics Series, vol 30. Springer, Cham., https://doi.org/10.1007/978-3-030-95519-9.

• 2021: Topology-Inspired Method Recovers Obfuscated Term Information From Induced Software Call-Stacks. K. Maggs, V. Robins, Front. Appl. Math. Stat., 28 May 2021 Sec. Mathematics of Computation and Data Science Volume 7 - 2021, https://doi.org/10.3389/fams.2021.668082.

(Co)future talks:

• July, 2025: LOGML, Imperial College London, Simplicial Representation Learning and Neural k-forms.

• June, 2025: Topological Advances in the Life Sciences, University of Cambridge, Cohomology Classes in the RNA transcriptome.

• June, 2025: TDA Week, University of Kyoto, Differential forms in Applied Algebraic Topology.

• February, 2025: Seminar, University of Edinburgh, Cohomology Classes in the RNA Transcriptome.

• January, 2025: Krishnaswamy Lab Presentation, Yale University, Simplicial representation learning and neural k-forms.

• January, 2025: Joint Mathematics Meeting, Seattle US, Cohomology Classes in the RNA Transcriptome.

• July, 2024: European for Mathematical and Theoretical Biology, Toledo, Cohomology Classes in the RNA Transcriptome.

• May, 2024: Oxford Applied Topology Seminar, UK, Persistent Rational Homotopy Theory.

• May, 2024: International Conference of Learning and Representations, Vienna, Simplicial representation learning and neural k-forms (Poster).

• April, 2024: Albany Applied Topology Seminar, University at Albany, US (online). Persistent Rational Homotopy Theory.

• April, 2024: International workshop on AI and Topology, University of Copenhagen, Copenhagen, Denmark, Simplicial representation learning and neural $k$-forms.

• March, 2024: MPI Topology Seminar, Max Planck Institut für Mathematik, Leipzig Germany, Persistent Rational Homotopy Theory.

• December, 2023: Computational Topology and Applications, Tsinghua University, Sanya, China, Simplicial Representation Learning and Neural $k$-forms.

• September, 2023: BIGS Young Research Event: Meeting on Topology and Applications, BIGS Network, Bielefeld, Germany, Simplicial Representation Learning and Neural $k$-forms.

• June, 2023: Persistence, Sheaves and Homotopy Theory Seminar, Online Seminar, Persistent Rational Homotopy Theory.

• June 2023: Cancerprev ESR Workshop, Vlaams Instituut voor Biotechnologie,Ghent, Belgium, Cyclic Structures in Single-cell RNA Sequencing.

• May, 2023: MPI Topology Seminar, Max-Planck-Institut für Mathematik, Leipzig, Germany. Discrete Morse Theory for Cellular Signal Processing.

• September 2022: Topology of Data Conference, Università degli Studi di Roma Tor Vergata, Rome, Italy, Discrete Morse Theory for Cellular Signal Processing.

• July, 2022: Applied Topology in Frontier Sciences, National University of Singapore, Online, Discrete Morse Theory for Cellular Signal Processing.

• July, 2022: Young Topologist's Meeting 2022, University of Copenhagen, Copenhagen, Denmark, Discrete Morse Theory for Cellular Signal Processing.

• June, 2022: Cancerprev ESR Workshop, Pollone, Italy, Cyclic Structure in Single Cell RNA Sequencing.

• June, 2022: Applied Topology: Methods and Computation,Oxford, Oxford, United Kingdom, Discrete Morse Theory for Cellular Signal Processing.

• May, 2022: EPFL Super Sandwich Seminar,EPFL,Lausanne, Switzerland, Cyclic Structures in Single Cell RNA Sequencing.

• May, 2022: Brain-Mind Institute Seminar, EPFL, Lausanne, Switzerland, Cyclic Structures in Single Cell RNA Sequencing.

• June, 2019: Young Topologist's Meeeing, EPFL, Lausanne, Switzerland, Discrete Morse Theory and Persistent Homotopy Theory.

• June, 2019: AustMS Conference 2019, Monash University, Melbourne, Australia, Discrete Morse Theory and Persistent Homotopy Theory.

Music: