• Monty Alexander Birdland, New York Tuesday 28 May, Wednesday 29 May, Thursday 30 May, Friday 31 May, Saturday 1 June

The much-loved jazz pianist who is 80 on D-Day - a pivotal day in 20th-century world history when the Allies launched Operation Overlord, the largest amphibious invasion in the history of warfare, to take on the Nazis - is also the name of the excellent Monty Alexander album D-Day, the Jamaican-American's best album since Rocksteady 20 years ago.

• Brad Mehldau Village Vanguard, New York Tues 28 May, Wed 29 May, Thurs 30 May, Fri 31 May, Sat 1 June, Sun 2 June

Brad Mehldau here at the greatest jazz club of them all, and where he recorded The Art of the Trio Vol 2 in the late-1990s.

On Tuesday, Wednesday and Thursday nights the pianist is with Glasperian bassist Vicente Archer and the ex-Vijay Iyer drummer Marcus Gilmore great on Refract last year; on Friday, Saturday and Sunday Mehldau is with bassist Felix Moseholm and the Wyntonian drummer, swingmatism personified in Joe Farnsworth.

• Cécile McLorin Salvant Dimitriou's Jazz Alley, Seattle Tues 28 May, Wed 29 May

The iconic jazz singer Cécile McLorin Salvant plays Seattle with pianist Sullivan Fortner, double bassist Yasushi Nakamura and drummer Aaron Kimmel.

• Lafayette Harris, Kenny Davis Jarrett Walser Mezzrow, New York Wed 29 May

• Louis Hayes Quintet Blues Alley, Washington DC Thurs 30 May, Fri 31 May

The great Horace Silver and Cannonball Adderley drummer Louis Hayes whose Roses Poses proved a late period delight.

• John Pizzarelli Trio Keystone Korner, Baltimore Thurs 30 May, Fri 31 May, Sat 1 June

• Walter Beasley Scullers, Boston Fri 31 May, Sat 1 June

Saxophonist Walter Beasley's new album is Live and Blessed.

• Josh Lawrence Quintet Chris' Jazz Cafe, Philadelphia Fri 31 May

The trumpeter launches his new Posi-Tone Records album Measured Response with his band of tenorist Willie Morris, pianist Luke Carlos O’Reilly, bassist Noah Garabedian and drummer Sarah Gooch.

GIGS OF THE WEEK

• Naama Black Cat, San Francisco Thurs 30 May, Fri 31 May

Lead-off 'From This Moment On' from the seriously swinging upcoming album with Peter Bernstein Wild Is Love out at the end of June is - just listen - obviously terrific. ''The new Stacey Kent'' - we call the singer, Naama (Gheber) blew us away on her debut Dearly Beloved in 2020, and proved an accomplished voice already hugely comfortable at the heart of the matter on some classic standards that showed both her maturity as a vocal interpreter and her taste. The title track of 'Dearly Beloved' is closest to the Kent approach, other tracks on that album which featured the great Steve Nelson on vibes showed that aplomb and sassiness that Cécile McLorin Salvant in a different way brings to Broadway material.

• Emmet Cohen Trio Dimitriou's Jazz Alley, Seattle Thurs 30 May, Fri 31 May, Sat 1 June, Sunday 2 June,

• Arturo Sandoval and the L. A. All-Stars Catalina Bar and Grill, Los Angeles Fri 31 May, Sat 1 June

• Howard Levy 4 Green Mill, Chicago Fri 31 May, Sat 1 June

• Bruno Råberg tentet Regattabar, Cambridge, MA Sat 1 June

The longtime Stateside Swedish bassist's tentet includes acclaimed avant pianist Kris Davis and the fiery saxophonist Chris Cheek. Berklee professor Råberg's tentet release Evolver is new.

• Jarrod Lawson Yoshi's, Oakland Sun 2 June

• Amina Scott Quintet Snug Harbor, New Orleans Sun 2 June

Naama - pictured in a publicity photo - plays San Francisco on Thursday and Friday nights