Dr Mark Walsh

Lecturer
Biography
Research Interests
Books
Year | Publication | |
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2020 | The Space of Metrics of Positive Scalar Curvature on a Manifold with Boundary.
Mark Walsh (2020) The Space of Metrics of Positive Scalar Curvature on a Manifold with Boundary. New York, USA: New York Journal of Mathematics. [Details] |
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2011 | Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I.
Mark Walsh (2011) Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I. Providence, RI, USA: Memoirs of the American Mathematical Society. [Details] |
Peer Reviewed Journals
Year | Publication | |
---|---|---|
2022 | 'Positive (p,n)-intermediate scalar curvature and cobordism'
Matthew Burkemper, Catherine Searle and Mark Walsh (2022) 'Positive (p,n)-intermediate scalar curvature and cobordism'. Journal of Geometry and Physics, [Details] |
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2022 | 'H-Space and Loop Space Structures for Intermediate Curvatures'
Mark Walsh and David Wraith (2022) 'H-Space and Loop Space Structures for Intermediate Curvatures'. Communications in Contemporary Mathematics, [Details] |
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2021 | 'Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities'
B. Botvinnik and M. Walsh (2021) 'Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities'. SIGMA, 17 (034):1-27 [DOI] [Details] |
|
2019 | 'The Observer Moduli Space of Metrics of Positive Ricci Curvature'
B. Botvinnik, M. Walsh and D. Wraith (2019) 'The Observer Moduli Space of Metrics of Positive Ricci Curvature'. Geometry and Topology, 23 :3003-3040 [Details] |
|
2018 | 'Aspects of Scalar Curvature and Topology, Part 2'
Mark Walsh (2018) 'Aspects of Scalar Curvature and Topology, Part 2'. BULLETIN OF THE IRISH MATHEMATICAL SOCIETY, 81 [Details] |
|
2017 | 'Aspects of Scalar Curvature and Topology, Part 1'
Mark Walsh (2017) 'Aspects of Scalar Curvature and Topology, Part 1'. BULLETIN OF THE IRISH MATHEMATICAL SOCIETY, 80 [Details] |
|
2014 | 'Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part 2'
Mark Walsh (2014) 'Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part 2'. Transactions of the American Mathematical Society, [Details] |
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2014 | 'H-Spaces, Loop Spaces and Positive Scalar Curvature'
Mark Walsh (2014) 'H-Spaces, Loop Spaces and Positive Scalar Curvature'. Geometry and Topology, 18 (4):2189-2243 [Details] |
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2013 | 'Cobordism Invariance of the Homotopy Type of the Space of PSC-Metrics'
Mark Walsh (2013) 'Cobordism Invariance of the Homotopy Type of the Space of PSC-Metrics'. Proceedings of the American Mathematical Society, [Details] |
|
2010 | 'Homotopy Groups of the Moduli Space of Metrics of Positive Scalar Curvature'
B. Botvinnik, B. Hanke, T. Schick and M. Walsh (2010) 'Homotopy Groups of the Moduli Space of Metrics of Positive Scalar Curvature'. Geometry and Topology, :2047-2076 [Details] |
Conference Publications
Year | Publication | |
---|---|---|
2017 | The Observer Moduli Space of Metrics of Positive Ricci Curvature
B. Botvinnik, M. Walsh and D. Wraith (2017) The Observer Moduli Space of Metrics of Positive Ricci Curvature Spaces and Moduli Spaces of Riemannian Metrics [Details] |
Honours and Awards
Year | Title | Awarding Body | |
---|---|---|---|
2009 | University of Oregon D. K. Harrison Award for Best PhD Thesis | University of Oregon | |
2008 | Johnson Fellowship Award | University of Oregon | |
2013 | Simons Foundation Collaboration Award | Simons Foundation |
Committees
Committee | Function | From / To | |
---|---|---|---|
Mathematics Dept Course Curriculum Committee | Member | 2017 / | |
PhD Committee at IT Tralee | External Examiner | 2019 / | |
Faculty of Science and Engineering Research Committee | Mathematics Department Representative | 2019 / | |
John Hume Award Evaluation Committee | Mathematics Department Representative | 2019 / 2019 |
Reviews
Journal | Role | |
---|---|---|
Transactions Of The American Mathematical Society | Referee | |
K-Theory | Referee | |
Journal Of Computational And Graphical Statistics | Referee | |
Journal Of Mathematical Analysis And Applications | Referee | |
Mathematische Annalen | Referee | |
Geometric And Functional Analysis | Referee | |
Differential Geometry And Its Applications | Referee | |
Bulletin Of The London Mathematical Society | Referee |
Education
Year | Institution | Qualification | Subject | |
---|---|---|---|---|
2009 | University of Oregon | PhD | Mathematics |
Outreach Activities
Description | |
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Serving as President 2019 - present |
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Gave Mathematical presentations for local school children during both Maths and Science weeks (2018, 2019). Topics included: "Geometry of Soap Films" and "The Neighbouring Domain Problem". |
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Helped organise an exhibition on the connections between Mathematics and Music for Kansas public radio station KMUW in Spring 2014. |
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Between 2012 and 2017, regularly lectured in Mathematics to primary and secondary level students on elementary topics in geometry, topology and number theory. |
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Worked as a volunteer tutor helping adult learners complete their GED in Mathematics and Science. |
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Gave lectures to Team Maths students on: ``Geometry and the Shape of the Universe" (2018) and ``Soap Films and Minimal Surfaces" (2019) |
Employment
Employer | Position | From / To | |
---|---|---|---|
Oregon State University | Visiting Assistant Professor | 01-SEP-10 / 31-JUL-12 | |
Wichita State University | Assistant Professor | 01-AUG-12 / 30-AUG-16 | |
WWU Muenster | Postdoctoral Researcher | 01-SEP-09 / 31-AUG-10 | |
Maynooth University | Lecturer in Mathematics | 01-SEP-17 / | |
Wichita State University | Associate Professor | 01-SEP-16 / 31-AUG-17 |
Teaching Interests
Recent Postgraduates
Graduation | Student Name | University | Degree | Thesis | |
---|---|---|---|---|---|
2021 | Matthew Burkemper | Wichita State University | PhD | Positive Intermediate Scalar Curvature and Cobordism | |
2022 | Cian Hayes | Maynooth University | MSc | Groups of Homotopy Spheres | |
2022 | Jacqueline Birkett | Maynooth University | PhD | Positive k-Ricci Curvature, Concordance and Isotopy | |
2015 | Sarah Peterson | Wichita State University | MSc | Configuration Spaces | |
2015 | Matthew Burkemper | Wichita State University | MSc | Applications of the h-Cobordism Theorem |