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I'm a researcher at the math department of the Weizmann Institute of Science. Before that, I was a postdoc at Copenhagen University and before that a graduate student at Weizmann under the supervision of Prof. Dmitry Gourevitch.
I'm interested in homotopy theory, representation theory, algebraic geometry and many other things.
My Email: shachar.carmeli@gmail.com.
My office Room Goldsmith 203, Weizmann Institute of Science, Rehovot.
feel free to contact me!
Activities
I co-organize the colloquium of the math department at the Weizmann Institute. You can see the upcoming talks here.
Papers
On the Non-Existence of J-Homomorphims of Higher Height (To appear in Geometry and Topology)
Characters and Transfer Maps via Categorified Traces joint with Bastiaan Cnossen, Maxime Ramzi, and Lior Yanovski (Forum of Math. Sigma, 2025).
Descent and Cyclotomic Redshift in Chromatically Localized Algebraic K-Theory joint with Shay Ben-Moshe, Tomer M. Schlank, and Lior Yanovski (Journal of the AMS, 2024).
Relative de Rham Theory on Nash Manifolds joint with Avraham Aizenbud (to appear in Israel Journal of Math.)
Chromatic Cyclotomic Extensions joint with Tomer M. Schlank and Lior Yanovski (Geometry and Topology, 2024)
Chromatic Cardinalities Via Redshift joint with Shay Ben-Moshe, Tomer M. Schlank, and Lior Yanovski (IMRN, 2024)
The Chromatic Fourier Transform joint with Tobias Barthel, Tomer Schlank, and Lior Yanovski (Forum of Math. Pi, 2024)
On the Strict Picard Spectrum of Commutative Ring Spectra (Compositio Mathematica, 2023)
Higher Semiadditive Grothendieck-Witt Theory and the K(1)-local Sphere joint with Allen Yuan (Communications of the AMS, 2023)
Ambidexterity in Chromatic Homotopy Theory joint with Tomer Schlank and Lior Yanovski, (Invent. math., 2022)
Counting Surfaces Singular Along a Line in P^3 joint with Lev Radzivilovsky (Michigan Math. J., 2022)
Ambidexterity and Height joint with Tomer Schlank and Lior Yanovski (Advances in Math., 2021)
(A∞,2)-categories and relative 2-operads joint with Nathaniel Bottmann (Higher Structures, 2021)
Tenfold Topology of Crystals joint with Eyal Cornfeld (Phys. Rev. Research 3, 2021).
Extension of Intertwining Operators and Residues, which is an appendix joint with Jiuzu Hong to the paper The poles of Igusa zeta integrals and the unextendability of semi-invariant distributions by Jiuzu (IMRN, 2019).
Preprints
Prismatic Steenrod operations and arithmetic duality on Brauer groups joint with Tony Feng.
On the K-theory of algebraic tori joint with Qingyuan Bai, Branko Juran, and Florian Riedel.
Tate-valued Characteristic Classes joint with Kiran Luecke.
The Spectrum of Units of Algebraic K-theory joint with Kiran Luecke.
Maps Between Spherical Group Rings joint with Thomas Nikolaus and Allen Yuan.
Quotients of Nash Manifolds by Equivalence Relations joint with Avraham Aizebud, Dmitry Gourevitch, and Lev Radzivilovski.
Etale Homotopy Obstructions for Arithmetic Spheres joint with Edo Arad and Tomer Schlank.
My master thesis : On the Stability and Gelfand Property of Symmetric Pairs: Warning: This paper contains some inaccuracies and is under reconstruction!
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