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Ma Lab
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An algebraic geometry lab that studies the global structure of moduli spaces.
AboutAbout the lab
The global structure of moduli spaces
The Ma Lab studies the global structure of moduli spaces in the field of algebraic geometry.
Its research keywords include modular forms and rationality problems.
Key terms
- Algebraic geometry
- A field of mathematics that studies shapes defined by polynomial equations using algebraic methods
- Moduli space
- A space formed by collecting all shapes of a certain kind and regarding each shape as a point
- Modular form
- A highly symmetric function that behaves regularly under specified transformations
- Rationality problem
- The problem of asking whether a shape can be put into nearly one-to-one correspondence with a plane or space by using rational expressions (fractions of polynomials)
ResearchResearch themes
Modular forms on orthogonal groups
Modular forms associated with orthogonal groups appear on moduli spaces such as those of K3 surfaces. The lab investigates the global shape of moduli spaces using vector-valued modular forms and Borcherds products, which are expressed as infinite products.
*Illustrative imageHigher Chow cycles
The lab constructs higher Chow cycles, a generalization of the notion of subvarieties of an algebraic variety, on K3 surfaces with involution and on cubic fourfolds. It shows new connections, such as the appearance of Siegel modular forms.
MembersFaculty
- Associate ProfessorShouhei MaPublications ↗
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Ma Lab
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Honda LabSchool of Science, Department of MathematicsComplex geometryThe information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Kummer surface” Claudio Rocchini / CC BY-SA 3.0 (cropped)
- Higher Chow cycles: “Algebraic surfaces” Ashton Bradley Aspir8 / CC BY-SA 4.0 (cropped)
- Related lab (Taguchi Lab): “Ulam spiral with prime numbers and divisor-based dot sizes” Marianoju / CC BY-SA 4.0 (cropped)
- Related lab (Purkait Lab): “J-inv-phase” Linas Vepstas / CC BY-SA 3.0 (cropped)
- Related lab (Onodera Lab): “Minimalfläche mit Seifenhaut Tetraeder 0326” Bin im Garten / CC BY-SA 3.0 (cropped)
- Related lab (Honda Lab): “Calabi yau” Jbourjai / Public domain (cropped)
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