State Treasurer Steven Grossman, chairman of the Massachusetts School Building Authority, recently visited Billerica for the official dedication of the Parker Elementary School, which opened in September. The School Building Authority covered about 55 percent of the eligible costs for the $32.3 million project, state records show. The authority receives 1 percent of the state sales tax to fund school building projects throughout the state. Superintendent Timothy Piwowar and a handful of state and local politicians were also on hand for the May 31 ceremony, including Town Manager John Curran and state Representative Marc Lombardo, a Billerica Republican. The celebration came as the local leaders press forward with plans to renovate or replace Billerica Memorial High School. Town officials have submitted a statement of interest to the School Building Authority in hopes of partnering with the state on the project.