Huxley, Room 623

180 Queen's Gate

London SW7 2AZ

180 Queen's Gate

London SW7 2AZ

# Steven Sivek

Imperial College Department of MathematicsPapers and preprints (click on title to view abstract), also available on the arXiv:

Rational homology 3-spheres and SL(2,ℂ) representations
with Sudipta Ghosh
and Raphael Zentner

arXiv:2310.17965

arXiv:2310.17965

Small Heegaard genus and SU(2)
with John A. Baldwin

Algebr. Geom. Topol., to appear; arXiv:2309.09780

Algebr. Geom. Topol., to appear; arXiv:2309.09780

Thurston norm and Euler classes of tight contact structures
with Mehdi Yazdi

Bull. Lond. Math. Soc.

Bull. Lond. Math. Soc.

**55**(2023), no. 6, 2976–2990.
Zero-surgery characterizes infinitely many knots
with John A. Baldwin

Math. Res. Lett., to appear; arXiv:2211.04280

Math. Res. Lett., to appear; arXiv:2211.04280

An instanton take on some knot detection results
with John A. Baldwin

Frontiers in Geometry and Topology, Proc. Sympos. Pure Math., to appear; arXiv:2211.03743

Frontiers in Geometry and Topology, Proc. Sympos. Pure Math., to appear; arXiv:2211.03743

Characterizing slopes for 5

J. Lond. Math. Soc.

_{2}with John A. BaldwinJ. Lond. Math. Soc.

**109**(2024), no. 6, paper no. e12951.
Small Dehn surgery and SU(2)
with John A. Baldwin,
Zhenkun Li,
and Fan Ye

Geom. Topol.

Geom. Topol.

**28**(2024), no. 4, 1891–1922.
Khovanov homology and the cinquefoil
with John A. Baldwin
and Ying Hu

J. Eur. Math. Soc., to appear; arXiv:2105.12102

J. Eur. Math. Soc., to appear; arXiv:2105.12102

Instanton Floer homology of almost-rational plumbings
with
Antonio Alfieri,
John A. Baldwin,
and
Irving Dai

Geom. Topol.

Geom. Topol.

**26**(2022), no. 5, 2237–2294.
Framed instanton homology and concordance
with John A. Baldwin

J. Topology

J. Topology

**14**(2021), no. 4, 1113–1175.
Surgery obstructions and character varieties
with Raphael Zentner

Trans. Amer. Math. Soc.

Trans. Amer. Math. Soc.

**375**(2022), no. 5, 3351–3380.
L-space knots are fibered and strongly quasipositive
with John A. Baldwin

Gauge theory and low-dimensional topology: progress and interaction, 81–94,

Open Book Series 5, Math. Sci. Publ., Berkeley, CA, 2022.

Gauge theory and low-dimensional topology: progress and interaction, 81–94,

Open Book Series 5, Math. Sci. Publ., Berkeley, CA, 2022.

Instantons and L-space surgeries
with John A. Baldwin

J. Eur. Math. Soc.

J. Eur. Math. Soc.

**25**(2023), no. 10, 4033–4122.
A menagerie of SU(2)-cyclic 3-manifolds
with Raphael Zentner

Int. Math. Res. Not. 2022, no. 11, 8038–8085.

Int. Math. Res. Not. 2022, no. 11, 8038–8085.

Khovanov homology detects the Hopf links
with John A. Baldwin
and Yi Xie

Math. Res. Lett.

Math. Res. Lett.

**26**(2019), no. 5, 1281–1290.
Representations, sheaves, and Legendrian (2,m) torus links
with Baptiste Chantraine
and Lenhard Ng

J. Lond. Math. Soc.

J. Lond. Math. Soc.

**100**(2019), no. 1, 41–82.
Khovanov homology detects the trefoils
with John A. Baldwin

Duke Math. J.

Duke Math. J.

**171**(2022), no. 4, 885–956.
SU(2)-cyclic surgeries and the pillowcase
with Raphael Zentner

J. Differential Geom.

J. Differential Geom.

**121**(2022), no. 1, 101–185.
On the complexity of torus knot recognition
with John A.
Baldwin

Trans. Amer. Math. Soc.

Trans. Amer. Math. Soc.

**371**(2019), no. 6, 3831–3855.
Stein fillings and SU(2) representations
with John A.
Baldwin

Geom. Topol.

Geom. Topol.

**22**(2018), no. 7, 4307–4380.
On the equivalence of contact invariants in sutured Floer homology theories
with John A.
Baldwin

Geom. Topol.

Geom. Topol.

**25**(2021), no. 3, 1087–1164.
The cardinality of the augmentation category of a Legendrian link
with Lenhard Ng,
Dan Rutherford,
and
Vivek Shende

Math. Res. Lett.

Math. Res. Lett.

**24**(2017), no. 6, 1845–1874.
Fillings of unit cotangent bundles
with Jeremy Van Horn-Morris

Math. Ann.

Math. Ann.

**368**(2017), no. 3–4, 1063–1080.
Quasi-alternating links with small determinant
with Tye Lidman

Math. Proc. Cambridge Philos. Soc.

Math. Proc. Cambridge Philos. Soc.

**162**(2017), no. 2, 319–336.
Augmentations are sheaves
with
Lenhard Ng,
Dan Rutherford,
Vivek Shende, and
Eric Zaslow

Geom. Topol.

Geom. Topol.

**24**(2020), no. 5, 2149–2286.
Obstructions to Lagrangian concordance
with
Christopher R. Cornwell
and Lenhard Ng

Algebr. Geom. Topol.

Algebr. Geom. Topol.

**16**(2016), no. 2, 797–824.
Contact structures and reducible surgeries
with
Tye Lidman

Compositio Math.

Compositio Math.

**152**(2016), no. 1, 152–186.
Instanton Floer homology and contact structures
with
John A.
Baldwin

Selecta Math.

Selecta Math.

**22**(2016), no. 2, 939–978.
Invariants of Legendrian and transverse knots in monopole knot homology
with John A.
Baldwin

J. Symplectic Geom.

J. Symplectic Geom.

**16**(2018), no. 4, 959–1000.
A contact invariant in sutured monopole homology
with John A.
Baldwin

Forum Math. Sigma

Forum Math. Sigma

**4**(2016), e12, 82 pp.
Sutured ECH is a natural invariant
with Çağatay
Kutluhan;
appendix by C. H. Taubes

Mem. Amer. Math. Soc.

Mem. Amer. Math. Soc.

**275**(2022), no. 1350, iii+136pp.
Naturality in sutured monopole and instanton homology
with John A. Baldwin

J. Differential Geom.

J. Differential Geom.

**100**(2015), no. 3, 395–480.
Donaldson invariants of symplectic manifolds
Int. Math. Res. Not. 2015, no. 6, 1688–1716.

The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant
J. Symplectic Geom.

**11**(2013), no. 2, 167–178. (Examples of representations)
On the S

Electron. J. Combin.

_{n}-modules generated by partitions of a given shape with Daniel KaneElectron. J. Combin.

**15**(2008), #R111.Oberwolfach reports:

Programs: