Dr Mark Walsh
Lecturer
Biography
Research Interests
Books
Year  Publication  

2020  The Space of Positive Scalar Curvature Metrics on a Manifold with Boundary.
Mark Walsh (2020) The Space of Positive Scalar Curvature Metrics on a Manifold with Boundary. New York: New York Journal of Mathematics. [Details] 

2011  Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part 1.
Mark Walsh (2011) Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part 1. 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] 

2022  'HSpace and Loop Space Structures for Intermediate Curvatures'
Mark Walsh and David Wraith (2022) 'HSpace and Loop Space Structures for Intermediate Curvatures'. Communications in Contemporary Mathematics, [Details] 

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):127 [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 :30033040 [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] 

2014  'HSpaces, Loop Spaces and Positive Scalar Curvature'
Mark Walsh (2014) 'HSpaces, Loop Spaces and Positive Scalar Curvature'. Geometry and Topology, 18 (4):21892243 [Details] 

2013  'Cobordism Invariance of the Homotopy Type of the Space of PSCMetrics'
Mark Walsh (2013) 'Cobordism Invariance of the Homotopy Type of the Space of PSCMetrics'. 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, :20472076 [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  
KTheory  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  

Serving as President 2019  present 

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". 

Helped organise an exhibition on the connections between Mathematics and Music for Kansas public radio station KMUW in Spring 2014. 

Between 2012 and 2017, regularly lectured in Mathematics to primary and secondary level students on elementary topics in geometry, topology and number theory. 

Worked as a volunteer tutor helping adult learners complete their GED in Mathematics and Science. 

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  01SEP10 / 31JUL12  
Wichita State University  Assistant Professor  01AUG12 / 30AUG16  
WWU Muenster  Postdoctoral Researcher  01SEP09 / 31AUG10  
Maynooth University  Lecturer in Mathematics  01SEP17 /  
Wichita State University  Associate Professor  01SEP16 / 31AUG17 
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 kRicci Curvature, Concordance and Isotopy  
2015  Sarah Peterson  Wichita State University  MSc  Configuration Spaces  
2015  Matthew Burkemper  Wichita State University  MSc  Applications of the hCobordism Theorem 