Adam S. Sikora

发表

Stated SL(n)-Skein Modules and Algebras

Thang T. Q. Le, Adam S. Sikora, Thang T. Q. Lê, 2021, 2201.00045.

Verification of the Jones unknot conjecture up to 24 crossings

Robert E. Tuzun, Adam S. Sikora, 2021 .

Topology on the Spaces Of Orderings of Groups

Adam S. Sikora, A. Sikora, 2001, math/0111002.

KAUFFMAN-HARARY CONJECTURE HOLDS FOR MONTESINOS KNOTS

Jozef H. Przytycki, Adam S. Sikora, Marta M. Asaeda, 2003 .

Gradient estimates for heat kernels and harmonic functions

Adam S. Sikora, P. Koskela, A. Sikora, 2017, Journal of Functional Analysis.

Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem

Adam S. Sikora, A. Sikora, T. Coulhon, 2006, math/0609429.

Cut numbers of 3-manifolds

Adam S. Sikora, A. Sikora, 2001, math/0112106.

Acknowledgments: We would like to thank S. Boyer, T. Kerler, T.

Adam S. Sikora, A. Sikora, 2008 .

Analogies between group actions on 3-manifolds and number fields

Adam S. Sikora, A. Sikora, 2001, math/0107210.

Tangle Equations, the Jones conjecture, slopes of surfaces in tangle complements, and q-deformed rationals

Adam S. Sikora, A. Sikora, 2020, Canadian Journal of Mathematics.

Character varieties of abelian groups

Adam S. Sikora, A. Sikora, 2012, 1207.5284.

On skein algebras and Sl2(C)-character varieties

Adam S. Sikora, J. Przytycki, A. Sikora, 1997, q-alg/9705011.

Riesz meets Sobolev

Adam S. Sikora, A. Sikora, T. Coulhon, 2009, 0911.2313.

Multivariable Spectral Multipliers and Analysis of Quasielliptic Operators on Fractals

Adam S. Sikora, 2008, 0807.4348.

Plancherel Type Estimates and Sharp Spectral Multipliers

Adam S. Sikora, A. Sikora, E. Ouhabaz, 2002 .

ALGEBRAIC DESCRIPTION OF CHARACTER VARIETIES

Adam S. Sikora, 2011 .

Character Varieties

Adam S. Sikora, A. Sikora, 2009, 0902.2589.

SO(2n,C)-character varieties are not varieties of characters

Adam S. Sikora, 2015, 1503.08279.

Adequate links in thickened surfaces and the generalized Tait conjectures

Adam S. Sikora, A. Sikora, H. Boden, 2020, Algebraic & Geometric Topology.

Topological insights from the Chinese Rings

Adam S. Sikora, J. Przytycki, A. Sikora, 2000, math/0007134.

Vertical and horizontal square functions on a class of non-doubling manifolds

Adam Sikora, Julian Bailey, Adam S. Sikora, 2021, Journal of Differential Equations.

On second-order periodic elliptic operators in divergence form

Adam Sikora, Derek W. Robinson, A. F. M. ter Elst, 2001 .

Gaussian heat kernel estimates: From functions to forms

Adam S. Sikora, A. Sikora, T. Coulhon, 2016, Journal für die reine und angewandte Mathematik (Crelles Journal).

SPECTRAL MULTIPLIERS FOR THE KOHN SUBLAPLACIAN ON THE SPHERE IN C

Adam S. Sikora, A. Sikora, M. Cowling, 2010 .

Markov uniqueness of degenerate elliptic operators

D. W. Robinson, Adam S. Sikora, A. Sikora, 2009, 0912.4536.

Gradient estimates for heat kernels and harmonic functions

Adam S. Sikora, P. Koskela, Renjin Jiang, 2017, Journal of Functional Analysis.

On-Diagonal Estimates on Schrödinger Semigroup Kernels and Reduced Heat Kernels

Adam S. Sikora, 1997 .

Spectral multipliers, Bochner-Riesz means and uniform Sobolev inequalities for elliptic operators

Adam S. Sikora, Lixin Yan, A. Sikora, 2015, 1506.04883.

Probabilistic approach to the quantum separation effect for the Feynman–Kac semigroup

Adam S. Sikora, J. Zienkiewicz, 2017, Studia Mathematica.

REPORT ON BIRS WORKSHOP 09W5102 “DEDEKIND SUMS IN GEOMETRY, TOPOLOGY, AND ARITHMETIC”

Adam S. Sikora, P. Gunnells, A. Sikora, 2010 .

Varieties of Characters

Adam S. Sikora, A. Sikora, S. Lawton, 2017, Algebras and Representation Theory.

Varieties of Characters

Adam S. Sikora, A. Sikora, S. Lawton, 2016, 1604.02164.

Character varieties of abelian groups

Adam S. Sikora, A. Sikora, 2013, Mathematische Zeitschrift.

G-Character varieties for G=SO(n,C) and other not simply connected groups

Adam S. Sikora, A. Sikora, 2013, 1303.7181.

Verification Of The Jones Unknot Conjecture Up To 22 Crossings

Robert E. Tuzun, Adam S. Sikora, A. Sikora, 2016, 1606.06671.

SHARP POINTWISE ESTIMATES ON HEAT KERNELS

Adam S. Sikora, 1996 .

A spectral multiplier theorem for a sublaplacian on SU(2)

Adam S. Sikora, A. Sikora, M. Cowling, 2001 .

Spectral properties of differential operators

Adam S. Sikora, 2012 .

Degenerate elliptic operators in one dimension

D. W. Robinson, Adam S. Sikora, A. Sikora, 2009, 0909.0567.

On Conway Algebras and the Homflypt Polynomial

Adam S. Sikora, 1997 .

$SL_n$-character varieties as spaces of graphs

Adam S. Sikora, A. Sikora, 1998, math/9806016.

A geometric method in the theory of SL_n-representations of groups

Adam S. Sikora, 1998 .

Bochner–Riesz profile of anharmonic oscillator L=−d2dx2+|x|

Adam S. Sikora, W. Hebisch, A. Sikora, 2016 .

Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means

Adam S. Sikora, Lixin Yan, A. Sikora, 2016, Journal d'Analyse Mathématique.

Bochner-Riesz profile of anharmonic oscillator ${\mathcal L}=-\frac{d^2}{dx^2}+|x|$

Adam S. Sikora, W. Hebisch, A. Sikora, 2014, 1408.1259.

Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means

Adam S. Sikora, Lixin Yan, A. Sikora, 2012, 1202.4052.

Bounds on the maximal Bochner-Riesz means for elliptic operators

Adam S. Sikora, Lixin Yan, A. Sikora, 2018, Transactions of the American Mathematical Society.

Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Adam S. Sikora, A. Sikora, Peng Chen, 2013, Journal of Fourier Analysis and Applications.

Sharp spectral multipliers for operators satisfying generalized Gaussian estimates

Adam S. Sikora, Lixin Yan, A. Sikora, 2012, 1211.1295.

Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Adam S. Sikora, A. Sikora, Peng Chen, 2012, 1210.0322.

Restriction and spectral multiplier theorems on asymptotically conic manifolds

Adam S. Sikora, Andrew Hassell, A. Sikora, 2010, 1012.3780.

Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers

Adam S. Sikora, Lixin Yan, A. Sikora, 2010, 1003.1831.

Riesz transform, Gaussian bounds and the method of wave equation

Adam S. Sikora, A. Sikora, 2003, math/0307291.

Imaginary powers of Laplace operators

Adam S. Sikora, James Wright, A. Sikora, 2000 .

Workshop: Low-dimensional Topology and Number Theory Table of Contents

Paul E. Gunnells, Jessica S. Purcell, Adam S. Sikora, 2012 .

MATHEMATICAL THEORY OF STUDENT ASSESSMENT THROUGH GRADING

Adam S. Sikora, 2016 .

Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators

Adam S. Sikora, A. Sikora, Alessio Martini, 2012, 1204.1159.

A note on the heat kernel on the Heisenberg group

Adam S. Sikora, J. Zienkiewicz, 2002, Bulletin of the Australian Mathematical Society.

Bochner-Riesz Summability for analytic functions on the m-complex unit sphere and for cylindrically symmetric functions on R^n-1 x R

Adam S. Sikora, T. Tao, 2002, math/0207225.

Categorification of the Kauffman bracket skein module of I-bundles over surfaces

Adam S. Sikora, J. Przytycki, A. Sikora, 2004, math/0409414.

Skein algebras of surfaces

Adam S. Sikora, J. Przytycki, A. Sikora, 2016, Transactions of the American Mathematical Society.

Confluence Theory for Graphs

Bruce W. Westbury, Adam S. Sikora, A. Sikora, 2006, math/0609832.

A categorification of the skein module of tangles

Adam S. Sikora, J. Przytycki, M. Asaeda, 2004, math/0410238.

Skein theory for SU(n)-quantum invariants

Adam S. Sikora, A. Sikora, 2004, math/0407299.

Khovanov homology of links in I-bundles over surfaces

Adam S. Sikora, J. Przytycki, A. Sikora, 2004, math/0403527.

SKEIN MODULES AT THE 4TH ROOTS OF UNITY

Adam S. Sikora, A. Sikora, 2000, math/0011148.

Polygon Dissections and Euler, Fuss, Kirkman, and Cayley Numbers

Adam S. Sikora, J. Przytycki, A. Sikora, 1998, J. Comb. Theory A.

Ju l 2 00 0 Topological Insights from the Chinese Rings

Adam S. Sikora, J. Przytycki, A. Sikora, 2008 .

N ov 2 00 1 Topological Insights from the Chinese Rings

Adam S. Sikora, J. Przytycki, 2008 .

G T ] 3 0 A ug 2 00 1 Skein modules at the 4 th roots of unity

Adam S. Sikora, A. Sikora, 2008 .

Skein algebra of a group

Adam S. Sikora, J. Przytycki, A. Sikora, 1998 .

Kauffman bracket skein modules of small 3-manifolds

Adam S. Sikora, A. Sikora, Efstratia Kalfagianni, 2023, 2305.16188.

Torus and Z/p actions on manifolds

Adam S. Sikora, A. Sikora, 2002, math/0205013.

Grušin operators, Riesz transforms and nilpotent Lie groups

D. W. Robinson, Adam S. Sikora, A. Sikora, 2016 .

Grušin operators, Riesz transforms and nilpotent Lie groups

Adam S. Sikora, A. Sikora, Derek W. Robinson, 2015, Mathematische Zeitschrift.

Gru\v{s}in operators, Riesz transforms and nilpotent Lie groups

D. W. Robinson, Adam S. Sikora, A. Sikora, 2014, 1402.4208.

The limitations of the Poincaré inequality for Grušin type operators

D. W. Robinson, Adam S. Sikora, A. Sikora, 2014, Journal of Evolution Equations.

The limitations of the Poincaré inequality for Grušin type operators

D. W. Robinson, Adam S. Sikora, A. Sikora, 2014 .

The limitations of the Poincar{é} inequality

D. W. Robinson, Adam S. Sikora, A. Sikora, 2013, 1305.6998.

Vertical maximal functions on manifolds with ends

Adam S. Sikora, H. Sharma, 2023, Journal of Evolution Equations.

Dirichlet Forms and Degenerate Elliptic Operators

D. W. Robinson, Adam S. Sikora, A. T. Elst, 2006, math/0601349.

Small time asymptotics of diffusion processes

D. W. Robinson, Adam S. Sikora, A. Sikora, 2006, math/0601350.

A P ] 1 4 Ja n 20 06 Small time asymptotics of diffusion processes

D. W. Robinson, Adam S. Sikora, A. T. Elst, 2006 .

A P ] 1 4 Ja n 20 06 Dirichlet forms and degenerate elliptic operators

D. W. Robinson, Adam S. Sikora, A. T. Elst, 2006 .