A. Asok

发表

Smooth varieties up to A^1-homotopy and algebraic h-cobordisms

A. Asok, F. Morel, 2008, 0810.0324.

Localization and nilpotent spaces in A^1-homotopy theory

M. Hopkins, J. Fasel, A. Asok, 2019, 1909.05185.

Affine representability of quadrics revisited

A. Asok, 2021, 2104.08208.

Comparing A^1-h-cobordism and A^1-weak equivalence

A. Asok, Stefan Kebekus, M. Wendt, 2014, 1410.3038.

On unipotent quotients and some A^1-contractible smooth schemes

B. Doran, A. Asok, 2007, math/0703137.

Geometric Models for Algebraic Suspensions

P. Ostvaer, A. Asok, A. Dubouloz, 2021, International Mathematics Research Notices.

Algebraic vector bundles and $p$-local A^1-homotopy theory.

M. Hopkins, J. Fasel, A. Asok, 2020, 2008.03363.

The homotopy Leray spectral sequence

J. Nagel, F. D'eglise, A. Asok, 2018, Motivic Homotopy Theory and Refined Enumerative Geometry.

OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES

M. Hopkins, J. Fasel, A. Asok, 2015, Forum of Mathematics, Sigma.

Comparing Euler classes

J. Fasel, A. Asok, 2013, 1306.5250.

Yang–Mills theory and Tamagawa numbers: the fascination of unexpected links in mathematics

F. Kirwan, B. Doran, A. Asok, 2008, 0801.4733.

A^1-homotopy theory and contractible varieties: a survey.

Aravind Asok, Paul Arne Ostvaer, P. Ostvaer, 2019, 1903.07851.

On the Whitehead theorem for nilpotent motivic spaces

M. Hopkins, Tom Bachmann, A. Asok, 2022, 2210.05933.

Affine representability results in ${\mathbb{A}}^{1}$-homotopy theory, I: Vector bundles

A. Asok, Marc Hoyois, Matthias Wendt, 2015, 1506.07093.

Affine representability results in A-homotopy theory I: vector bundles

A. Asok, Marc Hoyois, Matthias Wendt, 2016 .

The simplicial suspension sequence in 1 –homotopy

A. Asok, B. Williams, Kirsten Wickelgren, 2015, 1507.05152.

Localization and nilpotent spaces in ${\mathbb {A}}^1$-homotopy theory

M. Hopkins, J. Fasel, A. Asok, 2022, Compositio Mathematica.

Equivariant Vector Bundles on Certain Affine G-Varieties

A. Asok, 2006, math/0604344.

Affine representability results in 1–homotopy theory, II : Principal bundles and homogeneous spaces

A. Asok, Marc Hoyois, Matthias Wendt, 2015, 1507.08020.

Smooth Models of Motivic Spheres and the Clutching Construction

B. Doran, J. Fasel, A. Asok, 2016 .

An explicit KO ‐degree map and applications

J. Fasel, A. Asok, 2014, 1403.4588.

Algebraic vector bundles on spheres

J. Fasel, A. Asok, 2012, 1204.4538.

A cohomological classification of vector bundles on smooth affine threefolds

J. Fasel, A. Asok, 2012, 1204.0770.

Motivic spheres and the image of the Suslin–Hurewicz map

J. Fasel, A. Asok, B. Williams, 2018, Inventiones mathematicae.

Splitting vector bundles outside the stable range and A^1-homotopy sheaves of punctured affine spaces

J. Fasel, A. Asok, 2012, 1209.5631.

Vector bundles on algebraic varieties

Aravind Asok, Jean Fasel, J. Fasel, 2021, 2111.03107.

Euler class groups and motivic stable cohomotopy

Aravind Asok, Jean Fasel, J. Fasel, 2016, Journal of the European Mathematical Society.

Motivic secondary characteristic classes and the Euler class

J. Fasel, A. Asok, 2013 .

Secondary Characteristic Classes and the Euler Class

J. Fasel, A. Asok, 2013, 1307.6831.

Stably A1-connected varieties and universal CH0

A. Asok, 2017 .

Stably A^1-connected varieties and universal triviality of CH_0

A. Asok, 2016, 1601.01615.

Splitting vector bundles and A1‐fundamental groups of higher‐dimensional varieties

A. Asok, 2011, 1103.1723.

The 0-th stable A^1-homotopy sheaf and quadratic zero cycles

A. Asok, C. Haesemeyer, 2011, 1108.3854.

Motivic spheres and the image of the Suslin–Hurewicz map

J. Fasel, A. Asok, B. Williams, 2019, Inventiones mathematicae.

Generically split octonion algebras and 𝔸1-homotopy theory

A. Asok, Marc Hoyois, Matthias Wendt, 2017, Algebra & Number Theory.

Motivic spheres and the image of Suslin's Hurewicz map

J. Fasel, A. Asok, B. Williams, 2018, 1804.05030.

Algebraic vs. topological vector bundles on spheres

J. Fasel, A. Asok, 2014, 1402.4156.

Affine representability results in A^1-homotopy theory III: finite fields and complements

A. Asok, Marc Hoyois, Matthias Wendt, 2018, 1807.03365.

Vector bundles on contractible smooth schemes

B. Doran, A. Asok, 2007, 0710.3607.

Rationality problems and conjectures of Milnor and Bloch–Kato

A. Asok, 2012, Compositio Mathematica.

Birational invariants and A^1-connectedness

A. Asok, 2010, 1001.4574.

Motives of some acyclic varieties

A. Asok, 2011 .

On Unipotent Quotients and some -contractible Smooth Schemes

B. Doran, A. Asok, 2010 .

Smooth models of motivic spheres

B. Doran, J. Fasel, A. Asok, 2014, 1408.0413.

The Jouanolou-Thomason homotopy lemma

A. Asok, 2009 .

A 1-contractibility and topological contractibility

A. Asok, 2011 .

A^1-homotopy groups, excision, and solvable quotients

B. Doran, A. Asok, 2009, 0902.1564.

Stable A^1-homotopy and R-equivalence

A. Asok, C. Haesemeyer, 2010, 1011.3186.

On P^1-stabilization in unstable motivic homotopy theory

M. Hopkins, Tom Bachmann, A. Asok, 2023, 2306.04631.

On the Whitehead theorem for nilpotent motivic spaces

M. Hopkins, Tom Bachmann, A. Asok, 2022, 2210.05933.

Equivariant sheaves on some spherical varieties

A. Asok, J. Parson, 2009, 0908.3906.