# Jan Hendrik Bruinier

#119,064

Most Influential Person Now

German mathematician

## Jan Hendrik Bruinier's AcademicInfluence.com Rankings

Jan Hendrik Bruiniermathematics Degrees

Mathematics

#5806

World Rank

#8141

Historical Rank

Number Theory

#202

World Rank

#259

Historical Rank

Measure Theory

#3810

World Rank

#4490

Historical Rank

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Mathematics

## Jan Hendrik Bruinier's Degrees

- PhD Mathematics University of Cologne

## Why Is Jan Hendrik Bruinier Influential?

(Suggest an Edit or Addition)According to Wikipedia, Jan Hendrik Bruinier is a German mathematician, whose work focuses on number theory. Work In 2011, together with Ken Ono, he developed a finite algebraic formula for the values of the partition function.

## Jan Hendrik Bruinier's Published Works

### Published Works

- The 1-2-3 of Modular Forms (2008) (454)
- On two geometric theta lifts (2002) (431)
- Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (2002) (378)
- Heegner divisors, $L$-functions and harmonic weak Maass forms (2007) (189)
- The 1-2-3 of Modular Forms: Lectures at a Summer School in Nordfjordeid, Norway (2008) (155)
- Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms (2011) (106)
- Traces of CM values of modular functions (2004) (106)
- Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues (2008) (95)
- The arithmetic of the values of modular functions and the divisors of modular forms (2004) (92)
- Faltings heights of CM cycles and derivatives of L-functions (2008) (90)
- Borcherds products and arithmetic intersection theory on Hilbert modular surfaces (2003) (76)
- On Borcherds Products Associated with Lattices of Prime Discriminant (2003) (69)
- Eisenstein series attached to lattices¶and modular forms on orthogonal groups (2001) (66)
- Hilbert class polynomials and traces of singular moduli (2006) (62)
- CM-values of Hilbert modular functions (2006) (62)
- On the converse theorem for Borcherds products (2012) (54)
- Borcherds products and Chern classes of Hirzebruch-Zagier divisors (1999) (51)
- Sign changes of coefficients of half integral weight modular forms (2007) (45)
- Integrals of automorphic Green's functions associated to Heegner divisors (2002) (41)
- Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues (2008) (41)
- Regularized theta liftings and periods of modular functions (2011) (40)
- Special Values of Green Functions at Big CM Points (2011) (39)
- Nonvanishing modulo $\ell$ of Fourier coefficients of half-integral weight modular forms (1999) (36)
- On the Rank of Picard Groups of Modular Varieties Attached to Orthogonal Groups (2002) (35)
- The Weil representation and Hecke operators for vector valued modular forms (2007) (34)
- Hilbert Modular Forms and Their Applications (2006) (34)
- Heights of Kudla–Rapoport divisors and derivatives of $$L$$L-functions (2013) (32)
- Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products (2016) (30)
- Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications (2017) (29)
- KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES (2014) (28)
- Class polynomials for nonholomorphic modular functions (2013) (27)
- The arithmetic of Borcherds' exponents (2003) (25)
- Regularized theta lifts for orthogonal groups over totally real fields (2009) (23)
- Local Borcherds products (2001) (21)
- Lattices with many Borcherds products (2014) (21)
- Coefficients of half-integral weight modular forms (2003) (19)
- On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift. (2006) (15)
- Special cycles on toroidal compactifications of orthogonal Shimura varieties (2019) (15)
- Two applications of the curve lemma for orthogonal groups (2003) (13)
- Twisted Borcherds products on Hilbert modular surfaces and their CM values (2005) (13)
- Computation of Harmonic Weak Maass Forms (2011) (13)
- Infinite products in number theory and geometry (2004) (12)
- CM values of higher automorphic Green functions for orthogonal groups (2019) (12)
- Harmonic Maass forms and periods (2011) (11)
- On a Theorem of Vignéras (1998) (11)
- CM-VALUES OF HILBERT MODULAR FUNCTIONS INVENT. MATH. 163(2006), 229-288 (2006) (10)
- Identities and congruences for Ramanujan’s ω(q) (2010) (10)
- Faltings heights of big CM cycles and derivatives of L-functions (2010) (10)
- CM values of automorphic Green functions on orthogonal groups over totally real fields (2010) (10)
- Non-vanishing of scalar products of Fourier-Jacobi coefficients of Siegel cusp forms (1999) (9)
- Borcherds products with prescribed divisor (2016) (9)
- Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series (2018) (9)
- Differential operators and harmonic weak Maass forms (2008) (8)
- Modularity of generating series of winding numbers (2017) (8)
- Theta lifts for Lorentzian lattices and coefficients of mock theta functions (2019) (6)
- Congruence Properties of Values of L-Functions and Applications (1999) (6)
- Cones of Heegner divisors (2017) (6)
- Heegner divisors in generalized Jacobians and traces of singular moduli (2015) (5)
- Corrigendum to “Coefficients of half-integral weight modular forms”: [J. Number Theory 99 (2003) 164–179] (2004) (5)
- Vector valued formal Fourier-Jacobi series (2013) (5)
- A CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON $X_{0}(N)$ (2018) (5)
- The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. (2008) (4)
- Degenerate Whittaker functions for Sp_n(R). (2016) (3)
- TRACES OF CM VALUES OF MODULAR FUNCTIONS AND RELATED TOPICS(Automorphic Forms and Automorphic L-Functions) (2005) (3)
- Arithmetic volumes of unitary Shimura varieties (2021) (3)
- Recent Work on the Partition Function (2013) (3)
- Non-vanishing modulo ` of Fourier coe cients of half-integral weight modular forms (2018) (2)
- Subject Index and Notation Index (2002) (1)
- Deformations of Theta Integrals and A Conjecture of Gross-Zagier (2022) (1)
- Arithmetic divisors on orthogonal and unitary Shimura varieties (2020) (1)
- 5. Chern classes of Heegner divisors (2002) (1)
- N T ] 2 4 N ov 2 01 7 MODULARITY OF GENERATING SERIES OF WINDING NUMBERS (2018) (0)
- L-Functions and automorphic forms : LAF, Heidelberg, February 22-26, 2016 (2017) (0)
- ARITHMETIC HIRZEBRUCH-ZAGIER DIVISORS AND MODULAR FORMS (2004) (0)
- ARITHMETIC HIRZEBRUCH-ZAGIER DIVISORS AND MODULAR FORMS (2004) (0)
- Theta lifts for Lorentzian lattices and coefficients of mock theta functions (2020) (0)
- Harmonic weak Maass forms and periods II (2022) (0)
- 4. Some Riemann geometry on O(2,l) (2002) (0)
- On the rank of Pi ard groups of modular varieties atta hed to orthogonal groups (2018) (0)
- Harmonic Maass forms and periods (2013) (0)
- Complex multiplication values of modular forms (2010) (0)
- N T ] 1 7 O ct 2 01 2 ON THE CONVERSE THEOREM FOR BORCHERDS PRODUCTS (2021) (0)
- Integrals of Automorphi Green ' s Fun tionsAsso iated to Heegner DivisorsJan (2009) (0)
- THE GROSS-ZAGIER FORMULA AND THE BORCHERDS LIFT (2009) (0)
- Modular Forms (2020) (0)
- 1. Vector valued modular forms for the metaplectic group (2002) (0)
- Modularity of generating series of winding numbers (2018) (0)
- L-Functions and Automorphic Forms (2017) (0)
- 2. The regularized theta lift (2002) (0)
- 3. The Fourier expansion of the theta lift (2002) (0)
- Moduli spaces and Modular forms (2022) (0)

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## Other Resources About Jan Hendrik Bruinier

## What Schools Are Affiliated With Jan Hendrik Bruinier?

Jan Hendrik Bruinier is affiliated with the following schools: