Tye Lidman

Toroidal integer homology three-spheres have irreducible SU(2)$SU(2)$-representations

JOURNAL OF TOPOLOGY, 16(1), 344–367.

Triple Linking Numbers and Heegaard Floer Homology

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023(6), 4501–4554.

KNOT CONCORDANCE IN HOMOLOGY COBORDISMS

DUKE MATHEMATICAL JOURNAL, 171(15), 3089–3131.

Lagrangian Cobordisms and Legendrian Invariants in Knot Floer Homology

MICHIGAN MATHEMATICAL JOURNAL, 71(1), 145–175.

Ribbon homology cobordisms

ADVANCES IN MATHEMATICS, 408.

Khovanov homology detects the figure‐eight knot

Bulletin of the London Mathematical Society, 53(3), 871–876.

A note on positive-definite, symplectic four-manifolds

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 21(1), 257–270.

A remark on the geography problem in Heegaard Floer homology

BREADTH IN CONTEMPORARY TOPOLOGY, Vol. 102, pp. 103–111.

APPLICATIONS OF INVOLUTIVE HEEGAARD FLOER HOMOLOGY

Journal of the Institute of Mathematics of Jussieu, 20(1), 1–38.

Distance one lens space fillings and band surgery on the trefoil knot

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 19(5), 2439–2484.

SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS

FORUM OF MATHEMATICS SIGMA, 7.

A NOTE ON SURGERY OBSTRUCTIONS AND HYPERBOLIC INTEGER HOMOLOGY SPHERES

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 146(3), 1363–1365.

A note on concordance properties of fibers in Seifert homology spheres

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 61(4), 754–767.

Floer homology and covering spaces

GEOMETRY & TOPOLOGY, 22(5), 2817–2838.

The equivalence of two Seiberg-Witten Floer homologies

Astérisque, 399.

COSMETIC SURGERY IN L-SPACES AND NUGATORY CROSSINGS

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369(5), 3639–3654.

Corrigendum to “Taut Foliations, Left-Orderability, and Cyclic Branched Covers”

Corrigendum to “Taut Foliations, Left-Orderability, and Cyclic Branched Covers.” Acta Mathematica Vietnamica, 42(4), 775–776.

Knot contact homology detects cabled, composite, and torus knots

Proceedings of the American Mathematical Society, 145(12), 5405–5412.

Quasi-alternating links with small determinant

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 162(2), 319–336.

Taut foliations, left-orderability, and cyclic branched covers (vol 39, pg 599, 2014)

Acta Mathematica Vietnamica, Vol. 42, pp. 775–776.

The Alexander module, Seifert forms, and categorification

JOURNAL OF TOPOLOGY, 10(1), 22–100.

Pretzel knots with L-space surgeries

The Michigan Mathematical Journal, 65(1), 105–130.

Surgery obstructions and Heegaard Floer homology

GEOMETRY & TOPOLOGY, 20(4), 2219–2251.

Contact structures and reducible surgeries

Compositio Mathematica, 152(1), 152–186.

Reducible surgeries and Heegaard Floer homology

Mathematical Research Letters, 22(3), 763–788.

Berge–Gabai knots and L–space satellite operations

Algebraic & Geometric Topology, 14(6), 3745–3763.

Nonfibered L-space knots

Pacific Journal of Mathematics, 267(2), 423–429.

Rank inequalities for the Heegaard Floer homology of Seifert homology spheres

Transactions of the American Mathematical Society, 367(10), 7291–7322.

Taut Foliations, Left-Orderability, and Cyclic Branched Covers

Acta Mathematica Vietnamica, 39(4), 599–635.

Graph manifolds, left-orderability and amalgamation

Algebraic & Geometric Topology, 13(4), 2347–2368.

On the infinity flavor of Heegaard Floer homology and the integral cohomology ring

Commentarii Mathematici Helvetici, 88(4), 875–898.

Asymptotic Evolution of Acyclic Random Mappings

Electronic Journal of Probability, 12(0), 1051–1180.

Expectation, Conditional Expectation and Martingales in Local Fields

Electronic Journal of Probability, 12(0), 498–515.