- Office: Carver 470
- Email: jth@iastate.edu
- Website: http://jthartwig.net
- Mail: 396 Carver Hall, 411 Morrill Road, Ames, IA 50011, USA

- Fall 2020: TBD
- Office Hours: TBD
- Previous teaching

- Representation theory, Lie algebras, quantum groups
- Invariant theory, Gelfand-Tsetlin theory, Galois orders
- Twisted generalized Weyl algebras, graded rings
- Connections to geometry, integrable systems, mathematical physics

- Jordan Disch
- O'Neill Kingston (PhD 2020)
- Erich Jauch (PhD 2020)

- 2005.06639 (with O. Kingston)
*Gelfand-Tsetlin crystals* - 2003.00957 (with D. Rosso)
*Grothendieck rings of towers of twisted generalized Weyl algebras* - 1903.12105 (with D. Rosso)
*Classification of twisted generalized Weyl algebras over polynomial rings*J. Algebra 546 (2020) 274–293 - 1807.04220 (with V. Serganova)
*Clifford and Weyl superalgebras and spinor representations*Transform. Groups (2018) - 1806.06133 (with N. Yu)
*Simple Whittaker modules over free bosonic orbifold vertex operator algebras*Proc. Amer. Math. Soc. 147 (2019) 3259–3272 - 1806.01179 (with D. D'Alessandro)
*Dynamical decomposition of bilinear control systems subject to symmetries*Journal of Dynamical and Control Systems (2020) - 1710.04186
*Principal Galois orders and Gelfand-Zeitlin modules*Adv. Math. 359 Article no. 106806 (2019) - 1702.08168
*Unitarizability of weight modules over noncommutative Kleinian fiber products* - 1612.08125
*Noncommutative singularities and lattice models*J. Algebra 508 (2018) 35–80 - 1512.09234
*The q-difference Noether problem for complex reflection groups and quantum OGZ algebras*Commun. Algebra 45 Issue 3 (2017) 1166–1176 - 1507.04414 (with D. Rosso)
*Cylindrical Dyck paths and the Mazorchuk-Turowska equation*J. Algebraic Combin. 44 Issue 1 (2016) 223–247 - 1504.05361 (with V. Serganova)
*Twisted generalized Weyl algebras and primitive quotients of enveloping algebras*Algebr. Represent. Theory 19 Issue 2 (2016) 277–313 - 1405.5273 (with V. Futorny and E.A. Wilson)
*Quantum affine modules for non-twisted affine Kac-Moody algebras*Proc. Amer. Math. Soc. 143 (2015) 5159–5171 - 1405.4333 (with K.R. Goodearl)
*The isomorphism problem for multiparameter quantized Weyl algebras*São Paulo J. Math. Sci. 9 Issue 1 (2015) 53–61 - 1404.0305 (with V. Futorny and E.A. Wilson)
*Irreducible completely pointed modules for quantum groups of type A*J. Algebra 432 (2015) 252–279 - 1203.4793 (with V. Futorny)
*De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum gl*Linear Algebra Appl. (2018)_{N} - 1111.6044 (with V. Futorny)
*Solution to a q-difference Noether problem and the quantum Gelfand-Kirillov conjecture for gl*Math. Z. 276 Issue 1 (2014) 1–37_{N} - 1104.5489 (with J.V. Stokman)
*Extended trigonometric Cherednik algebras and nonstationary Schrödinger equations with delta-potentials*J. Math. Phys. 54 021702 (2013) - 1103.5500 (with V. Futorny)
*Multiparameter twisted Weyl algebras*J. Algebra 357 (2012) 69–93 - 1103.4374 (with V. Futorny)
*On the consistency of twisted generalized Weyl algebras*Proc. Amer. Math. Soc. 140 (2012) 3349–3363 - 1009.4892 (with J. Öinert)
*Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras*J. Algebra 373 (2013) 312–339 - 0908.2054
*Twisted generalized Weyl algebras, polynomial Cartan matrices and Serre-type relations*Commun. Algebra 38 Issue 12 (2010) 4375–4389 - PhD Thesis
*Generalized Weyl algebras and elliptic quantum groups*Chalmers University of Technology (2008) - 0803.3815
*The elliptic GL(n) dynamical quantum group as an h-Hopf algebroid*Int. J. Math. Math. Sci. (2009) Article ID 545892 - 0803.0687
*Pseudo-unitarizable weight modules over generalized Weyl algebras*J. Pure Appl. Algebra 215 Issue 10 (2011) 2352–2377 - math/0510375
*Hopf structures on ambiskew polynomial rings*J. Pure Appl. Algebra 212 Issue 4 (2008) 863–883 - math/0502352
*Locally finite simple weight modules over twisted generalized Weyl algebras*J. Algebra 303 Issue 1 (2006) 42–76 - math/0408064 (with D. Larsson and S. Silvestrov)
*Deformations of Lie algebras using σ-derivations*J. Algebra 295 Issue 2 (2006) 314–361 - MSc Thesis
*Generalized Derivations on Algebras and Highest Weight Representations of the Virasoro Algebra*Lund University 2002:E16 LUNFMA-3014-2002 (2002)

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