Robert Gompf
#44,585
Most Influential Person Now
American mathematician
Robert Gompf's AcademicInfluence.com Rankings
Robert Gompfmathematics Degrees
Mathematics
#2004
World Rank
#3163
Historical Rank
#805
USA Rank
Measure Theory
#3398
World Rank
#4013
Historical Rank
#981
USA Rank
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Mathematics
Robert Gompf's Degrees
- PhD Mathematics University of California, Berkeley
Why Is Robert Gompf Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robert Ernest Gompf is an American mathematician specializing in geometric topology. Gompf received a Ph.D. in 1984 from the University of California, Berkeley under the supervision of Robion Kirby . He is now a professor at the University of Texas at Austin.
Robert Gompf's Published Works
Published Works
- 4-manifolds and Kirby calculus (1999) (1224)
- A new construction of symplectic manifolds (1995) (645)
- Handlebody construction of Stein surfaces (1998) (419)
- Computer calculation of Witten's 3-manifold invariant (1991) (184)
- Applications of Donaldson's theorems to classical knot concordance, homology 3-spheres and Property P (1988) (108)
- Irreducible 4-manifolds need not be complex (1993) (93)
- Nuclei of elliptic surfaces (1991) (92)
- Man and machine thinking about the smooth 4-dimensional Poincaré conjecture (2009) (70)
- Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems (1991) (57)
- Three exotic $\mathbf{R}^4$'s and other anomalies (1983) (51)
- Toward a topological characterization of symplectic manifolds (2002) (50)
- An infinite set of exotic $\mathbf{R}^4$'s (1985) (47)
- The topology of symplectic manifolds (2001) (46)
- An exotic menagerie (1993) (43)
- Smooth concordance of topologically slice knots (1986) (43)
- More Cappell–Shaneson spheres are standard (2009) (40)
- Sums of elliptic surfaces (1991) (39)
- Elliptic surfaces and some simple exotic ${\bf R}\sp 4$'s (1996) (37)
- symplectically aspherical manifolds with nontrivial $\pi_2$ (1998) (35)
- Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures (2010) (35)
- Infinite families of casson handles and topological disks (1984) (27)
- THREE EXOTIC R'S AND OTHER ANOMALIES (2008) (27)
- Infinite order corks (2016) (24)
- Stein surfaces as open subsets of C^2 (2005) (22)
- Symplectic structures from Lefschetz pencils in high dimensions (2004) (22)
- Stable diffeomorphism of compact 4-manifolds (1984) (21)
- Locally holomorphic maps yield symplectic structures (2005) (21)
- On fundamental groups of quotient spaces (2009) (20)
- Periodic ends and knot concordance (1989) (19)
- Smooth embeddings with Stein surface images (2011) (19)
- Spin c {structures and homotopy equivalences (1997) (18)
- On the topology of algebraic surfaces (1991) (17)
- Some well-disguised ribbon knots (1995) (17)
- A topological characterization of symplectic manifolds (2002) (12)
- Minimal genera of open 4-manifolds (2013) (12)
- Stein surfaces as open subsets of $\boldsymbol{\mathbb{C}}^2$ (2005) (11)
- Infinite order corks via handle diagrams (2016) (11)
- On Cappell-Shaneson 4-spheres (1991) (10)
- On sums of algebraic surfaces (1988) (9)
- Fibered knots and Property 2R, II (2009) (6)
- On uniqueness of end sums and 1–handles at infinity (2017) (5)
- Constructing Stein manifolds after Eliashberg (2008) (5)
- Orbit spaces of gradient vector fields (2011) (4)
- Smooth 4-manifolds and Symplectic Topology (1995) (3)
- A moduli space of exotic ℝ4'S (1989) (3)
- Creating Stein surfaces by topological isotopy (2020) (3)
- Group actions, corks and exotic smoothings of $${\mathbb R}^4$$R4 (2017) (3)
- An exotic orientable 4-manifold (1986) (3)
- QUOTIENT MAPS WITH CONNECTED FIBERS AND THE FUNDAMENTAL GROUP (2009) (3)
- What is... a Lefschetz pencil (2005) (2)
- Quotient manifolds of flows (2014) (2)
- Stein Surfaces as Open Subsets of C (2005) (1)
- Topologically trivial proper 2-knots (2021) (1)
- PROBLEMS IN 4-MANIFOLD TOPOLOGY (1990) (1)
- An invariant for Casson handles, disks, and knot concordance (1984) (0)
- Topology Proceedings 15 (1990) pp. 29-38: PROBLEMS IN 4-MANIFOLD TOPOLOGY (2007) (0)
- Topology Proceedings 15 (1990) pp. 29-38: PROBLEMS IN 4-MANIFOLD TOPOLOGY (2007) (0)
- Book Review: Connections, definite forms and four-manifolds (1992) (0)
- Locally Holomorphic Maps Yield Symplectic Structures 1 (2005) (0)
- SYMPLECTIC CONSTRUCTIONS ON 4-MANIFOLDS by JOHN BOYD ETNYRE (2013) (0)
- Surfaces in 4-manifolds (1999) (0)
- Topological convexity in complex surfaces (2020) (0)
- Symplectic Constructions on 4-manifolds Symplectic Constructions on 4-manifolds Background and Preliminary Results (1996) (0)
- Cobordisms, ℎ-cobordisms and exotic ℝ^{4,}s (1999) (0)
- Calculation of Witten ' s 3-Manifold Invariant * (2004) (0)
- Branched covers and resolutions (1999) (0)
- Elliptic and Lefschetz fibrations (1999) (0)
- Handlebodies and Kirby diagrams (1999) (0)
- N ov 2 00 5 TOWARD A TOPOLOGICAL CHARACTERIZATION OF SYMPLECTIC MANIFOLDS (2008) (0)
- Notation, important figures (1999) (0)
- Transverse tori in Engel manifolds (2022) (0)
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