- Department of Mathematics
- University of Oregon
- E-mail: adding@uoregon.edu
- Office: 208 Fenton Hall

- Some non-special cubic fourfolds

With Asher Auel. Submitted. arXiv:1703.05923. - Cubic fourfolds fibered in sextic del Pezzo surfaces

With Brendan Hassett, Yuri Tschinkel, and Anthony Várilly-Alvarado. Submitted. arXiv:1606.05321. - Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences

With Will Donovan and Ciaran Meachan.*J. Lond. Math. Soc. (2)*93(3):846–865, 2016. arXiv:1507.02597. - Mukai flops and
**P**-twists

With Will Donovan and Ciaran Meachan. To appear in*J. reine angew. Math.*arXiv:1507.02595. - On two rationality conjectures for cubic fourfolds

*Math. Res. Lett.*23(1):1–13, 2016. arXiv:1405.4902. - On the symplectic eightfold associated to a Pfaffian cubic fourfold

With Manfred Lehn. To appear in*J. reine angew. Math.*arXiv:1404.5657. - The Pfaffian–Grassmannian equivalence revisited

With Will Donovan and Ed Segal.*Alg. Geom.*2(3):332–364, 2015. arXiv:1401.3661. - The Brauer group is not a derived invariant

In*Brauer groups and obstruction problems: moduli spaces and arithmetic*, volume 320 of*Progr. Math.*, pp. 1–5. Birkhäuser, 2017. arXiv:1306.6538. - Categories of massless D-branes and del Pezzo surfaces

With Paul Aspinwall.*J. High Energy Phys.*7(176):39pp., 2013. arXiv:1305.5767. - Hodge theory and derived categories of cubic fourfolds

With Richard Thomas.*Duke Math. J.*163(10):1885–1927, 2014. arXiv:1211.3758. - D-brane probes, branched double covers, and noncommutative resolutions

With Eric Sharpe and Ed Segal.*Adv. Theor. Math. Phys.*18(6):1369–1436, 2014. arXiv:1211.2446. - New derived symmetries of some hyperkähler varieties

*Alg. Geom.*3(2):223–260, 2016. arXiv:1112.0487. - The derived category of the intersection of four quadrics

Preprint. arXiv:0904.1764. - Spinor sheaves on singular quadrics

*Proc. Amer. Math. Soc.*130(11):3867–3879, 2011. arXiv:0904.1766.

- Spinor sheaves and complete intersections of quadrics

My Ph.D. thesis, advised by Andrei Căldăraru.

A longer version of the first two papers above, with background. - A method for recovering arbitrary graphs

My undergraduate thesis, based on my work in Jim Morrow’s REU.

Here is the C++ program mentioned in the paper.

- complete_intersection computes the Hodge diamond of a complete intersection in
**P**^{n}.

This program works, but the algorithm is overly complicated — I didn’t know about

Hirzebruch’s generating function when I wrote it. The generating function is given

succinctly in this note by Donu Arapura; he’s implemented it in Sage and Maple. I’ve

implemented it in Macaulay2, if you prefer that. - double_cover computes the Hodge diamond of a branched double cover of
**P**^{n}.

- Algebraic geometry of the ring of continuous functions

Maximal ideals of the ring of continuous functions on a compact space correspond to points of the space. What about prime ideals? - Note on Spin

The “accidental isomorphisms” Spin(3) = Sp(1), Spin(4) = Sp(1) × Sp(1), Spin(5) = Sp(2), and Spin(6) = SU(4) given explicitly. - Fiber bundles and non-abelian cohomology

Talk given at the 2007 Graduate Student Topology Conference.

- Oregon:
- Math 607, Winter 2017 (Topics course in Moduli Spaces of Sheaves)
- Math 445, Winter 2017 (Group Theory)
- Math 444, Fall 2016 (Ring Theory)
- Math 420, Spring 2016 (2nd course in Differential Equations)
- Math 252, Spring 2016 (Calculus II, Integration)
- Math 252, Fall 2015 (Calculus II, Integration)

- Duke:
- Math 621, Spring 2015 (Differential Geometry)
- Math 401, Spring 2015 (Abstract Algebra)
- Math 401, Fall 2014 (Abstract Algebra)
- Math 212, Fall 2013 (Multivariable Calculus)
- Math 487, Fall 2013 (Mathematical Logic)
- Math 212, Spring 2013 (Multivariable Calculus)
- Math 212, Fall 2012 (Multivariable Calculus)

- Imperial:
- M3P21, Spring 2012 (Algebraic Topology)
- M3P21, Spring 2011 (Algebraic Topology)
- M3P21, Spring 2010 (Algebraic Topology)

- Wisconsin (selected):
- Math 234, Spring 2008 (Multivariable Calculus)
- Math 541, Fall 2007 (Abstract Algebra)
- Math 221, Spring 2006 (Calculus I)