Home Page of McKenzie Wang

e-mail: wang@mcmaster.ca

phone: (905)-525-9140 extension 23405

fax: (905)-522-0935

snail mail: Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4K1, Canada

Differential geometry, geometric analysis, group
actions on manifolds

Math 2X3 (Advanced Calculus I) Fall
2018

Math 3B3 (Geometry) Fall 2018

Math 762 (Differential Geometry)
Winter 2019

(with A. Dancer and S. Hall) Cohomogeneity one
shrinking Ricci solitons: an analytic and numerical study, Asian J. Math., 17
(2013), 33-61

(with M. Buzano, A. Dancer
and M. Gallaugher) Non-kahler
expanding Ricci solitons, Einstein metrics and exotic cone structures, Pacific
J. Math., Vol. 273, (2015), 369-394, arXiv:1311.5097

(with M. Buzano, A. Dancer
and M. Gallaugher) A family of steady Ricci solitons
and Ricci-flat metrics, arXiv:1309.6140

(with M. Buzano and A.
Dancer) A family of steady Ricci solitons and Ricci-flat metrics, Comm. Anal.
Geom., 23 (2015), 611-638

(with A. Betancourt de la Parra, A. Dancer) A
Hamiltonian approach to the cohomogeneity one Ricci solitons equations, J. Math.
Phys., 57 (2016), 122501

(with P. Lu) Ancient solutions of the Ricci flow on
bundles, Adv. Math., 318 (2017), 411-456.

(with P. Lu) Ancient solutions bundles with
non-abelian structural groups, Comm. Anal. Geom. (to appear), arXiv:1610.07709.

(with Changliang Wang)
Stability of Einstein Metrics on fibre bundles, arXiv:1808.05679

(with I. Adeboye and Guofang Wei) On the volume of orbifold quotients of
symmetric spaces, arXiv:1808.05747

(with Changliang Wang)
Instability of Riemannian manifolds with real Killing spinors, arXiv: 1810.04526

--------------------------------------------------------------------------------------------

The following file contains a listing of the
2-dimensional faces which need to be analysed for the results in

A. Dancer & M. Wang, Classification of superpotentials, Comm. Math. Phys., 284 (2008), 583-647.

I am happy to take on graduate students at both the
M. Sc. and Ph. D. levels. Here are my former students and some information
about their research projects.

**JUN
WANG**:
(Ph. D. McMaster University 1996)

Thesis: Einstein metrics on bundles

J. Wang: Einstein metrics on principal circle
bundles, Diff. Geom. Appl., 7 (1997), 377-388.

J. Wang and M. Wang: Einstein metrics on S^2 bundles,
Math. Ann., 310 (1998), 497-526.

**DEZHONG
CHEN**:
(Ph. D. McMaster University 2010)

Thesis: Bundle construction of Einstein metrics

D. Chen: A notes on Ricci signatures, PAMS 137
(2009), 273-278

D. Chen: Examples of Einstein manifolds in odd
dimensions, Ann. Glob. Anal. Geom., 40 (2011), 339-377.

D. Chen: Construction of conformally compact Einstein
manifolds, arXiv:0908.1430

**DAVID
WILLIAMS**: (M. Sc. McMaster University 2000)

Thesis: Construction of closed constant mean
curvature surfaces

**AMI
MAMALO**: (M. Sc. McMaster University 2005)

Project: Exploring spacetimes and singularities

**JASON
HARADYN**: (M. Sc. McMaster University 2010)

Project: Invariant Einstein metrics and Ricci
curvature on the exceptional Aloff-Wallach spaces

**CONG
ZHOU**:
(M. Sc. McMaster University 2013)

Thesis: On complete non-compact Ricci-flat
cohomogeneity one manifolds

**VINCENT
CHIU:** (M. Sc. McMaster University 2016)

Thesis: A numerical study of cohomogeneity one manifolds

**HANCI
CHI: **(Ph. D. candidate, in progress)

Thesis: Invariant Einstein metrics of cohomogeneity
one with Wallach spaces as principal orbits

CLARA BLAKELOCK (USRA 2005): Painleve
analysis of the Einstein equations

LAURA WALTON (USRA 2010): Iterating the Ricci tensor
of homogeneous metrics

MICHAEL GALLAUGHER (USRA 2013): Numerical analysis of
Einstein and soliton equations

JONATHAN BAKER (USRA 2014): Numerical analysis of
Einstein and solitons equations

MARTIN BLOTSTEIN (USRA 2014): Iterating the Ricci
tensor of homogeneous metrics

MEGAN HARTWELL (USRA 2015): Finding superpotentials for Einstein equations with nonzero
cosmological constant

CISSY SUEN (USRA 2015): Numerical analysis of soliton
and Einstein equations

MATTHEW JORDAN (Arts and Science USRF 2016): Special
relativity as told by the luminaries.

McMaster
University Department of Mathematics and Statistics homepage: http://www.math.mcmaster.ca

For information
about GAP (Geometry and Physics) meetings: http://www.math.uwaterloo.ca/~gap

For
information about Geometric analysis colloquium at Fields: http://www.fields.utoronto.ca/programs/scientific/14-15/geomanalysis

Updated December 8, 2018