Faculty

Institution

Unit

Venue

Tomasz Tkocz

Associate Professor

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Tomasz Tkocz is currently serving as a Mathematical Sciences Associate Professor at Carnegie Mellon University.

Honors

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Experiences

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Education

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Tomasz Tkocz

Carnegie Mellon University

Associate Professor

You can click a keyword to filter the displayed items

applied mathematics mathematics convex analysis mathematical analysis geometric analysis probability theory entropy combinatorial theory spectral theory combinatorial optimization mathematical optimization analytic number theory pure mathematics algebraic geometry geometry geometry and topology convex hulls statistics mathematical sciences gaussian analysis information theory lower bounds extremal graph theory random matrix random unitary matrices number theory geometric topology statistical physics applied algebra variational inequalities optimization problems random cost constraint applied physics mathematical programming polyhedron scientific computing stochastic geometry extremal combinatorics convex optimization combinatorial methods algebraic combinatorics global analysis geometry processing discrete geometry geometric algorithms global geometry tensor products khinchin-type inequalities independent symmetric weights random variables boundary value problems computational optimization quantum chemistry system science theoretical mathematics topological properties conic optimization symmetric functions randomized algorithms stochastic optimization mathematical chemistry principal component analysis gaussian process enumerative combinatorics analytic combinatorics topological combinatorics brunn-minkowski inequality gaussian measure geometric inequalities gaussian mixtures log-concave random vectors sharp comparison log-concave moment problem canonical processes regular moments concentration inequalities high-dimensional statistics convex geometry probabilistic analysis

Notable Scholarly Works

Notable Federal Grants

Collaborators

A RéNyi Entropy Interpretation of Anti-Concentration and Noncentral Sections of Convex Bodies. Communications in Contemporary Mathematics (2025)

mathematical analysisgeometric measure theoryentropynoncentral sectionsgeometry and topologystatistical mechanicsgeometric analysisintegral geometryrényi entropy interpretationstatistical physicsmathematical sciencesentropy productionapplied mathematicsmathematical physicsmathematicsconvex bodies

A Sharp Gaussian Tail Bound for Sums of Uniforms. Israel Journal of Mathematics (2025)

combinatorial theoryapproximation theoryasymptotic analysisprobability theoryapplied mathematicsmathematicsmathematical statisticslower bounds

Complex Hanner’s Inequality for Many Functions. Israel Journal of Mathematics (2024)

mathematical analysisfunctional analysisfunction theorycomplex function theoryharmonic analysiscomplex analysisabstract and applied analysismany functions

Haagerup’s Phase Transition at Polydisc Slicing. Analysis & PDE (2024)

physicsscientific computingphase transitionsphase separationapplied mathematics

Resilience of Cube Slicing in ℓp. Duke Mathematical Journal (2024)

numerical algorithmshigher dimensional problemsdiscrete mathematicsapplied mathematics

Distributional Stability of the Szarek and Ball Inequalities. Mathematische Annalen (2023)

Alexandros EskenazisPiotr NayarTomasz Tkocz

ball inequalitiesdistributional stabilityalgebraapplied mathematicsmathematics

Extremal Sections and Projections of Certain Convex Bodies: A Survey. De Gruyter eBooks (2023)

Piotr NayarTomasz Tkocz

combinatorial optimizationspectral theoryglobal geometryalgebraic geometryapplied mathematicsconvex optimizationextremal sectionsconvex analysismathematicscombinatorial theoryextremal combinatoricsconvex hullsextremal graph theorygeometric modelinggeometrygeometric topologygeometry and topologygeometric analysiscertain convex bodies

Sharp Bounds on P-Norms for Sums of Independent Uniform Random Variables, 0 P 1. Journal d Analyse Mathématique (2023)

Giorgos ChasapisKeerthana GurushankarTomasz Tkocz

mathematical analysisanalytic number theorytheoretical analysissharp boundsapplied mathematics

Stability of Polydisc Slicing. Mathematika (2023)

Nathaniel GloverTomasz TkoczKatarzyna Wyczesany

mathematical modellingalgebraic geometryapplied mathematicsmathematicspolydisc slicingmathematical optimization

Tail Bounds for Sums of Independent Two-Sided Exponential Random Variables. Progress in probability (2023)

Jiawei LiTomasz Tkocz

probabilistic analysisstochastic processprobability theorymathematicstail bounds

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Tomasz Tkocz

Associate Professor

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Tomasz Tkocz is currently serving as a Mathematical Sciences Associate Professor at Carnegie Mellon University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Tomasz Tkocz

Carnegie Mellon University

Associate Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A RéNyi Entropy Interpretation of Anti-Concentration and Noncentral Sections of Convex Bodies. Communications in Contemporary Mathematics (2025)

A Sharp Gaussian Tail Bound for Sums of Uniforms. Israel Journal of Mathematics (2025)

combinatorial theoryapproximation theoryasymptotic analysisprobability theoryapplied mathematicsmathematicsmathematical statisticslower bounds

Complex Hanner’s Inequality for Many Functions. Israel Journal of Mathematics (2024)

mathematical analysisfunctional analysisfunction theorycomplex function theoryharmonic analysiscomplex analysisabstract and applied analysismany functions

Haagerup’s Phase Transition at Polydisc Slicing. Analysis & PDE (2024)

physicsscientific computingphase transitionsphase separationapplied mathematics

Resilience of Cube Slicing in ℓp. Duke Mathematical Journal (2024)

numerical algorithmshigher dimensional problemsdiscrete mathematicsapplied mathematics

Distributional Stability of the Szarek and Ball Inequalities. Mathematische Annalen (2023)

Alexandros EskenazisPiotr NayarTomasz Tkocz

ball inequalitiesdistributional stabilityalgebraapplied mathematicsmathematics

Extremal Sections and Projections of Certain Convex Bodies: A Survey. De Gruyter eBooks (2023)

Piotr NayarTomasz Tkocz

Sharp Bounds on P-Norms for Sums of Independent Uniform Random Variables, 0 P 1. Journal d Analyse Mathématique (2023)

Giorgos ChasapisKeerthana GurushankarTomasz Tkocz

mathematical analysisanalytic number theorytheoretical analysissharp boundsapplied mathematics

Stability of Polydisc Slicing. Mathematika (2023)

Nathaniel GloverTomasz TkoczKatarzyna Wyczesany

mathematical modellingalgebraic geometryapplied mathematicsmathematicspolydisc slicingmathematical optimization

Tail Bounds for Sums of Independent Two-Sided Exponential Random Variables. Progress in probability (2023)

Jiawei LiTomasz Tkocz

probabilistic analysisstochastic processprobability theorymathematicstail bounds

1
2
3
4
5
8
10 / page

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applied mathematics

mathematics

Florian Frick

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numerical mathematics

general systems

Wesley Pegden

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general systems

mathematics education

Jonathan Niles-Weed

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information theory

high-dimensional statistics

Boris Bukh

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geometric selection theorems

discrete algorithm

Po-Shen Loh

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data preparation

general systems

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applied mathematics

geometric measure theory

Gaoyong Zhang

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convex analysis

geometry

Alexander Solynin

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complex analysis

spectral theory

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applied mathematics

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